Quick Answer
SAT area of triangles and quadrilaterals practice questions test triangles, rectangles, squares, parallelograms, trapezoids, rhombi, kites, coordinate figures, composite regions, scale factors, and algebraic area models.
What Should You Know?
- Triangle area is (1/2)bh.
- Rectangle area is length × width.
- Square area is side².
- Parallelogram area is base × perpendicular height.
- Trapezoid area is (1/2)(b₁+b₂)h.
- Rhombus and kite area is (1/2)d₁d₂.
- Composite area is found by adding or subtracting regions.
- Area scales by the square of the linear scale factor.
In This Guide
Start With SAT Math Topic-Wise Practice
Connect area practice with weekly score planning and targeted SAT Math correction.
Download the SAT Prep Guide E-Book
Organize geometry formulas and weekly SAT Math practice with a clear plan.
Download SAT Prep Guide E-BookWhat Does the SAT Test in Area Questions?
Students may need to apply a formula, find a missing dimension, compare areas, use coordinate geometry, combine multiple regions, or analyze scaling.
| Skill Area | What It Tests | Questions |
|---|---|---|
| Triangle area | Base, height, right and equilateral triangles | Q1-Q15 |
| Rectangles and parallelograms | Area, missing sides, diagonals, scaling | Q16-Q30 |
| Trapezoids, rhombi, kites | Bases, heights, diagonals | Q31-Q45 |
| Advanced area models | Composite, coordinate, algebraic area | Q46-Q70 |
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How Are Triangle Area Questions Tested?
Use base, height, right triangles, coordinate triangles, and proportional changes.
TRIANGLE AREA BASICSEASYQuestion 1
What is the area of a triangle with base 10 and height 6?
Which choice is correct?
A) 25
B) 30
C) 35
D) 40
Show full solution
Correct answer: B) 30
Area=(1/2)(10)(6)=30.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 2
What is the area of a triangle with base 12 and height 7?
Which choice is correct?
A) 35
B) 42
C) 49
D) 56
Show full solution
Correct answer: B) 42
Area=(1/2)(12)(7)=42.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 3
What is the area of a triangle with base 15 and height 8?
Which choice is correct?
A) 50
B) 60
C) 70
D) 80
Show full solution
Correct answer: B) 60
Area=(1/2)(15)(8)=60.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 4
What is the area of a triangle with base 9 and height 12?
Which choice is correct?
A) 45
B) 54
C) 63
D) 72
Show full solution
Correct answer: B) 54
Area=(1/2)(9)(12)=54.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 5
What is the area of a triangle with base 14 and height 5?
Which choice is correct?
A) 30
B) 35
C) 40
D) 45
Show full solution
Correct answer: B) 35
Area=(1/2)(14)(5)=35.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 6
What is the area of a triangle with base 18 and height 7?
Which choice is correct?
A) 53
B) 63
C) 73
D) 83
Show full solution
Correct answer: B) 63
Area=(1/2)(18)(7)=63.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 7
What is the area of a triangle with base 20 and height 9?
Which choice is correct?
A) 75
B) 90
C) 105
D) 120
Show full solution
Correct answer: B) 90
Area=(1/2)(20)(9)=90.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 8
What is the area of a triangle with base 16 and height 11?
Which choice is correct?
A) 74
B) 88
C) 102
D) 116
Show full solution
Correct answer: B) 88
Area=(1/2)(16)(11)=88.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 9
What is the area of a triangle with base 24 and height 6?
Which choice is correct?
A) 60
B) 72
C) 84
D) 96
Show full solution
Correct answer: B) 72
Area=(1/2)(24)(6)=72.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSEASYQuestion 10
What is the area of a triangle with base 13 and height 10?
Which choice is correct?
A) 55
B) 65
C) 75
D) 85
Show full solution
Correct answer: B) 65
Area=(1/2)(13)(10)=65.
SAT trap: Do not forget the factor of 1/2.
TRIANGLE AREA BASICSMEDIUMQuestion 11
A triangle has area 42 and base 12. What is its height?
Which choice is correct?
A) 5
B) 7
C) 9
D) 14
Show full solution
Correct answer: B) 7
42=(1/2)(12)h=6h, so h=7.
SAT trap: Use perpendicular height.
TRIANGLE AREA BASICSMEDIUMQuestion 12
A right triangle has legs 9 and 12. What is its area?
Which choice is correct?
A) 42
B) 54
C) 96
D) 108
Show full solution
Correct answer: B) 54
The legs are perpendicular, so area=(1/2)(9)(12)=54.
SAT trap: The hypotenuse is not needed.
TRIANGLE AREA BASICSMEDIUMQuestion 13
What is the area of an equilateral triangle with side length 8?
Which choice is correct?
A) 8√3
B) 12√3
C) 16√3
D) 32√3
Show full solution
Correct answer: C) 16√3
Area=(√3/4)(8²)=16√3.
SAT trap: Use the equilateral-triangle area formula.
TRIANGLE AREA BASICSMEDIUMQuestion 14
Two triangles have the same base and perpendicular height. Which statement must be true?
Which choice is correct?
A) Equal perimeters
B) Equal areas
C) Congruent triangles
D) Similar triangles
Show full solution
Correct answer: B) Equal areas
Triangle area depends only on base and perpendicular height.
SAT trap: Equal area does not imply congruence.
TRIANGLE AREA BASICSMEDIUMQuestion 15
Both the base and height of a triangle are doubled. By what factor does area change?
Which choice is correct?
A) 2
B) 3
C) 4
D) 8
Show full solution
Correct answer: C) 4
Area scales by 2×2=4.
SAT trap: Area depends on the product of base and height.
Build Stronger SAT Geometry Skills
Connect area formulas with algebra, ratios, and coordinate geometry.
How Are Rectangles, Squares, and Parallelograms Tested?
Use basic formulas, missing sides, diagonals, and scale factors.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 16
What is the area of a rectangle with length 12 and width 7?
Which choice is correct?
A) 70
B) 84
C) 98
D) 112
Show full solution
Correct answer: B) 84
Area=12×7=84.
SAT trap: Do not use the perimeter formula.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 17
What is the area of a rectangle with length 15 and width 6?
Which choice is correct?
A) 75
B) 90
C) 105
D) 120
Show full solution
Correct answer: B) 90
Area=15×6=90.
SAT trap: Do not use the perimeter formula.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 18
What is the area of a square with side length 9?
Which choice is correct?
A) 68
B) 81
C) 94
D) 107
Show full solution
Correct answer: B) 81
Area=9²=81.
SAT trap: Square the side length.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 19
What is the area of a parallelogram with base 13 and perpendicular height 5?
Which choice is correct?
A) 55
B) 65
C) 75
D) 85
Show full solution
Correct answer: B) 65
Area=13×5=65.
SAT trap: Use perpendicular height for a parallelogram.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 20
What is the area of a rectangle with length 18 and width 4?
Which choice is correct?
A) 60
B) 72
C) 84
D) 96
Show full solution
Correct answer: B) 72
Area=18×4=72.
SAT trap: Do not use the perimeter formula.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 21
What is the area of a square with side length 11?
Which choice is correct?
A) 101
B) 121
C) 141
D) 161
Show full solution
Correct answer: B) 121
Area=11²=121.
SAT trap: Square the side length.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 22
What is the area of a parallelogram with base 20 and perpendicular height 7?
Which choice is correct?
A) 117
B) 140
C) 163
D) 186
Show full solution
Correct answer: B) 140
Area=20×7=140.
SAT trap: Use perpendicular height for a parallelogram.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 23
What is the area of a rectangle with length 14 and width 9?
Which choice is correct?
A) 105
B) 126
C) 147
D) 168
Show full solution
Correct answer: B) 126
Area=14×9=126.
SAT trap: Do not use the perimeter formula.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 24
What is the area of a square with side length 12?
Which choice is correct?
A) 120
B) 144
C) 168
D) 192
Show full solution
Correct answer: B) 144
Area=12²=144.
SAT trap: Square the side length.
RECTANGLES, SQUARES, AND PARALLELOGRAMSMEDIUMQuestion 25
What is the area of a parallelogram with base 16 and perpendicular height 8?
Which choice is correct?
A) 107
B) 128
C) 149
D) 170
Show full solution
Correct answer: B) 128
Area=16×8=128.
SAT trap: Use perpendicular height for a parallelogram.
RECTANGLES, SQUARES, AND PARALLELOGRAMSHARDQuestion 26
A rectangle has area 96 and width 8. What is its length?
Which choice is correct?
A) 8
B) 12
C) 16
D) 24
Show full solution
Correct answer: B) 12
Length=96/8=12.
SAT trap: Divide area by the known side.
RECTANGLES, SQUARES, AND PARALLELOGRAMSHARDQuestion 27
A square has area 144. What is its side length?
Which choice is correct?
A) 6
B) 12
C) 24
D) 72
Show full solution
Correct answer: B) 12
Side=√144=12.
SAT trap: Take the positive square root.
RECTANGLES, SQUARES, AND PARALLELOGRAMSHARDQuestion 28
A rectangle has diagonal 13 and width 5. What is its area?
Which choice is correct?
A) 30
B) 50
C) 60
D) 65
Show full solution
Correct answer: C) 60
The missing length is 12 from the 5-12-13 triangle, so area=60.
SAT trap: Use the diagonal as a hypotenuse.
RECTANGLES, SQUARES, AND PARALLELOGRAMSHARDQuestion 29
A square has diagonal 8√2. What is its area?
Which choice is correct?
A) 32
B) 64
C) 128
D) 256
Show full solution
Correct answer: B) 64
Since d=s√2, the side is 8 and area=64.
SAT trap: The diagonal is not the side.
RECTANGLES, SQUARES, AND PARALLELOGRAMSHARDQuestion 30
A rectangle is enlarged by scale factor 3. By what factor does its area change?
Which choice is correct?
A) 3
B) 6
C) 9
D) 12
Show full solution
Correct answer: C) 9
Area scales by 3²=9.
SAT trap: Square the linear scale factor.
How Are Trapezoids, Rhombi, and Kites Tested?
Use base averages, heights, diagonal products, and scaling.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 31
What is the area of a trapezoid with bases 8 and 14 and height 5?
Which choice is correct?
A) 48
B) 55
C) 62
D) 69
Show full solution
Correct answer: B) 55
Area=(1/2)(8+14)(5)=55.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 32
What is the area of a trapezoid with bases 10 and 18 and height 6?
Which choice is correct?
A) 72
B) 84
C) 96
D) 108
Show full solution
Correct answer: B) 84
Area=(1/2)(10+18)(6)=84.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 33
What is the area of a trapezoid with bases 6 and 12 and height 7?
Which choice is correct?
A) 54
B) 63
C) 72
D) 81
Show full solution
Correct answer: B) 63
Area=(1/2)(6+12)(7)=63.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 34
What is the area of a trapezoid with bases 9 and 15 and height 8?
Which choice is correct?
A) 83
B) 96
C) 109
D) 122
Show full solution
Correct answer: B) 96
Area=(1/2)(9+15)(8)=96.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 35
What is the area of a trapezoid with bases 11 and 19 and height 4?
Which choice is correct?
A) 52
B) 60
C) 68
D) 76
Show full solution
Correct answer: B) 60
Area=(1/2)(11+19)(4)=60.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 36
What is the area of a trapezoid with bases 5 and 13 and height 9?
Which choice is correct?
A) 70
B) 81
C) 92
D) 103
Show full solution
Correct answer: B) 81
Area=(1/2)(5+13)(9)=81.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 37
What is the area of a trapezoid with bases 7 and 17 and height 6?
Which choice is correct?
A) 62
B) 72
C) 82
D) 92
Show full solution
Correct answer: B) 72
Area=(1/2)(7+17)(6)=72.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 38
What is the area of a trapezoid with bases 12 and 20 and height 5?
Which choice is correct?
A) 69
B) 80
C) 91
D) 102
Show full solution
Correct answer: B) 80
Area=(1/2)(12+20)(5)=80.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 39
What is the area of a trapezoid with bases 4 and 16 and height 10?
Which choice is correct?
A) 86
B) 100
C) 114
D) 128
Show full solution
Correct answer: B) 100
Area=(1/2)(4+16)(10)=100.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 40
What is the area of a trapezoid with bases 14 and 22 and height 3?
Which choice is correct?
A) 47
B) 54
C) 61
D) 68
Show full solution
Correct answer: B) 54
Area=(1/2)(14+22)(3)=54.
SAT trap: Add the bases before multiplying by one-half and the height.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 41
What is the area of a rhombus with diagonals 10 and 16?
Which choice is correct?
A) 40
B) 80
C) 160
D) 320
Show full solution
Correct answer: B) 80
Area=(1/2)(10)(16)=80.
SAT trap: Use the full diagonal lengths.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 42
A kite has diagonals 9 and 20. What is its area?
Which choice is correct?
A) 45
B) 90
C) 180
D) 360
Show full solution
Correct answer: B) 90
Area=(1/2)(9)(20)=90.
SAT trap: Do not omit the factor of one-half.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 43
A rhombus has area 120 and one diagonal 10. What is the other diagonal?
Which choice is correct?
A) 12
B) 18
C) 24
D) 30
Show full solution
Correct answer: C) 24
120=(1/2)(10)d=5d, so d=24.
SAT trap: Solve using A=(1/2)d₁d₂.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 44
A kite has diagonals in ratio 2:3 and area 108. What are the diagonals?
Which choice is correct?
A) 8 and 12
B) 10 and 15
C) 12 and 18
D) 18 and 27
Show full solution
Correct answer: C) 12 and 18
Let diagonals be 2x and 3x. Then 3x²=108, so x=6.
SAT trap: Translate the ratio into algebra.
TRAPEZOIDS, RHOMBI, AND KITESHARDQuestion 45
A rhombus is enlarged by scale factor 2.5. By what factor does its area change?
Which choice is correct?
A) 2.5
B) 5
C) 6.25
D) 12.5
Show full solution
Correct answer: C) 6.25
Area scales by 2.5²=6.25.
SAT trap: Square the linear scale factor.
Practice More SAT Geometry and Data Analysis
Build accuracy with quadrilateral formulas, scale factors, and composite figures.
How Are Composite and Coordinate Area Questions Tested?
Combine regions, subtract cutouts, and use coordinate differences.
COMPOSITE AND COORDINATE AREAHARDQuestion 46
A rectangle measuring 12 by 8 has a triangular section with base 4 and height 6 removed. What is the remaining area?
Which choice is correct?
A) 72
B) 84
C) 90
D) 96
Show full solution
Correct answer: B) 84
Rectangle area=96, triangle area=12, remaining area=84.
SAT trap: Subtract the removed region.
COMPOSITE AND COORDINATE AREAHARDQuestion 47
A square of side 10 contains a triangle with base 10 and height 6. What area remains outside the triangle?
Which choice is correct?
A) 30
B) 40
C) 60
D) 70
Show full solution
Correct answer: D) 70
Square area=100 and triangle area=30, so 70 remains.
SAT trap: Compute both areas before subtracting.
COMPOSITE AND COORDINATE AREAHARDQuestion 48
A rectangle 15 by 9 is divided by a diagonal. What is the area of each triangle?
Which choice is correct?
A) 54
B) 67.5
C) 90
D) 135
Show full solution
Correct answer: B) 67.5
The rectangle area is 135, and the diagonal divides it into two equal triangles.
SAT trap: A diagonal halves a rectangle.
COMPOSITE AND COORDINATE AREAHARDQuestion 49
A parallelogram with base 16 and height 7 is divided by a diagonal. What is the area of each triangle?
Which choice is correct?
A) 28
B) 56
C) 112
D) 224
Show full solution
Correct answer: B) 56
Parallelogram area=112, and each triangle has half.
SAT trap: A diagonal halves a parallelogram.
COMPOSITE AND COORDINATE AREAHARDQuestion 50
A figure consists of a rectangle 10 by 6 and a triangle on top with base 10 and height 4. What is the total area?
Which choice is correct?
A) 70
B) 80
C) 90
D) 100
Show full solution
Correct answer: B) 80
Rectangle area=60 and triangle area=20, so total=80.
SAT trap: Add non-overlapping regions.
COMPOSITE AND COORDINATE AREAHARDQuestion 51
A square courtyard has side 20. A rectangular pool 8 by 5 is inside it. What is the remaining area?
Which choice is correct?
A) 320
B) 340
C) 360
D) 400
Show full solution
Correct answer: C) 360
Courtyard area=400 and pool area=40, so 360 remains.
SAT trap: Subtract the inner area.
COMPOSITE AND COORDINATE AREAHARDQuestion 52
A coordinate rectangle has vertices (-2,1), (7,1), (7,5), and (-2,5). What is its area?
Which choice is correct?
A) 13
B) 26
C) 36
D) 45
Show full solution
Correct answer: C) 36
Width=9 and height=4, so area=36.
SAT trap: Use coordinate differences.
COMPOSITE AND COORDINATE AREAHARDQuestion 53
A coordinate parallelogram has base from (0,0) to (6,0) and opposite side on y=5. What is its area?
Which choice is correct?
A) 11
B) 15
C) 30
D) 60
Show full solution
Correct answer: C) 30
Base=6 and height=5, so area=30.
SAT trap: Use perpendicular separation.
COMPOSITE AND COORDINATE AREAHARDQuestion 54
A triangle has vertices (-3,0), (5,0), and (1,6). What is its area?
Which choice is correct?
A) 18
B) 24
C) 30
D) 48
Show full solution
Correct answer: B) 24
Base=8 and height=6, so area=24.
SAT trap: The base lies on the x-axis.
COMPOSITE AND COORDINATE AREAHARDQuestion 55
A trapezoid has vertices (0,0), (10,0), (7,4), and (2,4). What is its area?
Which choice is correct?
A) 20
B) 25
C) 30
D) 40
Show full solution
Correct answer: C) 30
The parallel bases are 10 and 5 with height 4, so area=30.
SAT trap: Identify the horizontal bases.
What Do Hard Mixed Area Questions Look Like?
Combine algebra, equal-area conditions, scale changes, and missing dimensions.
HARD MIXED AREA PROBLEMSHARDQuestion 56
A triangle and rectangle have equal areas. The triangle has base 12 and height 9. The rectangle has width 6. What is its length?
Which choice is correct?
A) 6
B) 9
C) 12
D) 18
Show full solution
Correct answer: B) 9
Triangle area=54, so rectangle length=54/6=9.
SAT trap: Set the areas equal.
HARD MIXED AREA PROBLEMSHARDQuestion 57
A square and equilateral triangle have the same perimeter of 24. What is the square area?
Which choice is correct?
A) 24
B) 32
C) 36
D) 48
Show full solution
Correct answer: C) 36
The square side is 6, so area=36.
SAT trap: Use the square perimeter.
HARD MIXED AREA PROBLEMSHARDQuestion 58
A rectangle has length x+3 and width x. Its area is 40. What is x?
Which choice is correct?
A) 4
B) 5
C) 8
D) 10
Show full solution
Correct answer: B) 5
x(x+3)=40 gives (x+8)(x-5)=0, so x=5.
SAT trap: Reject negative lengths.
HARD MIXED AREA PROBLEMSHARDQuestion 59
A square has side x+2 and area 81. What is x?
Which choice is correct?
A) 5
B) 7
C) 9
D) 11
Show full solution
Correct answer: B) 7
x+2=9, so x=7.
SAT trap: Use the positive side length.
HARD MIXED AREA PROBLEMSHARDQuestion 60
A trapezoid has bases x and x+6, height 4, and area 52. What is x?
Which choice is correct?
A) 8
B) 10
C) 12
D) 14
Show full solution
Correct answer: B) 10
52=(1/2)(2x+6)(4)=4x+12, so x=10.
SAT trap: Simplify the area formula first.
HARD MIXED AREA PROBLEMSHARDQuestion 61
A rhombus has diagonals x and x+4 and area 96. What is x?
Which choice is correct?
A) 8
B) 10
C) 12
D) 16
Show full solution
Correct answer: C) 12
(1/2)x(x+4)=96 gives x=12.
SAT trap: Reject the negative root.
HARD MIXED AREA PROBLEMSHARDQuestion 62
A triangle base increases 20% and height decreases 20%. By what factor does area change?
Which choice is correct?
A) 0.64
B) 0.80
C) 0.96
D) 1.00
Show full solution
Correct answer: C) 0.96
Area factor=1.2×0.8=0.96.
SAT trap: Combine both scale factors.
HARD MIXED AREA PROBLEMSHARDQuestion 63
A rectangle length increases 25% and width increases 20%. By what factor does area change?
Which choice is correct?
A) 1.20
B) 1.25
C) 1.45
D) 1.50
Show full solution
Correct answer: D) 1.50
Area factor=1.25×1.20=1.50.
SAT trap: Multiply the dimension factors.
HARD MIXED AREA PROBLEMSHARDQuestion 64
A square and rectangle have equal area. The square side is 12 and rectangle length is 18. What is the rectangle width?
Which choice is correct?
A) 6
B) 8
C) 10
D) 12
Show full solution
Correct answer: B) 8
Square area=144, so width=144/18=8.
SAT trap: Set areas equal.
HARD MIXED AREA PROBLEMSHARDQuestion 65
A trapezoid has the same area as a parallelogram with base 12 and height 5. The trapezoid bases are 8 and 16. What is its height?
Which choice is correct?
A) 4
B) 5
C) 6
D) 10
Show full solution
Correct answer: B) 5
Parallelogram area=60 and trapezoid area=12h, so h=5.
SAT trap: Compute the comparison area first.
What Do Student-Produced Responses Look Like?
Enter the requested area or missing measurement.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 66
A triangle has base 18 and height 7. What is its area?
Enter your answer.
Show full solution
Correct answer: 63
Area=(1/2)(18)(7)=63.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 67
A rectangle has area 96 and length 12. What is its width?
Enter your answer.
Show full solution
Correct answer: 8
Width=96/12=8.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 68
A square has area 225. What is its side length?
Enter your answer.
Show full solution
Correct answer: 15
Side=√225=15.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 69
A trapezoid has bases 6 and 14 and height 5. What is its area?
Enter your answer.
Show full solution
Correct answer: 50
Area=(1/2)(20)(5)=50.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 70
A rhombus has diagonals 12 and 20. What is its area?
Enter your answer.
Show full solution
Correct answer: 120
Area=(1/2)(12)(20)=120.
SAT trap: Enter only the requested numerical value.
Common SAT Area Mistakes
| Mistake | Correction |
|---|---|
| Forgetting one-half for triangles | Use A=(1/2)bh |
| Using a slanted side as height | Use perpendicular height |
| Using perimeter instead of area | Check for squared units |
| Scaling area linearly | Square the scale factor |
Two-Week SAT Area Study Plan
| Days | Focus |
|---|---|
| 1-3 | Q1-Q15 |
| 4-7 | Q16-Q30 |
| 8-10 | Q31-Q45 |
| 11-14 | Q46-Q70 and review |
Frequently Asked Questions About SAT Area of Triangles and Quadrilaterals Practice Questions
Are area questions tested on the Digital SAT?
Yes. They appear in Geometry and Trigonometry and may involve algebra or coordinates.
What is the triangle area formula?
A=(1/2)bh.
What is the parallelogram area formula?
A=bh using perpendicular height.
What is the trapezoid area formula?
A=(1/2)(b₁+b₂)h.
How do I find rhombus or kite area?
Use A=(1/2)d₁d₂.
How do I solve composite area questions?
Add non-overlapping regions or subtract removed regions.
How does scale factor affect area?
If lengths scale by k, area scales by k².
How many questions should I practice?
Practice triangles, rectangles, parallelograms, trapezoids, rhombi, kites, composite figures, and coordinate area.
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