Geometry and TrigonometryEasy–MediumArea of a house-shaped composite
Geometry and Trigonometry practice question
A figure consists of a rectangle 8 units wide and 5 units tall with a triangle of height 3 sitting on top of it, the triangle's base being the rectangle's top side. What is the total area of the figure?
Answer: 52
Rectangle: 8 × 5 = 40. Triangle: (1/2)(8)(3) = 12. Total: 52.
Common wrong answers
- If you answered 24
- 24 is 8 × 3, the triangle without the 1/2 and without the rectangle.
- If you answered 40
- 40 is the rectangle alone.
- If you answered 64
- 64 adds a full 8 × 3 rectangle on top instead of a triangle (half that).
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
Not affiliated with the College Board. SAT is a trademark of the College Board.