Area of a Trapezoid Quiz
Questions: 16 · 10 minutes
1. A student finds the area of a trapezoid with bases 6 cm and 10 cm and height 4 cm by calculating (6 + 10) × 4 = 64 cm². What caused the error?
The student should have subtracted the base lengths.
The student should have squared the height.
The student should have multiplied the two bases.
The student forgot to divide the result by 2.
2. Every length in a trapezoid is multiplied by 3 to make a similar trapezoid. How does its area change?
It becomes 3 times as large.
It remains unchanged.
It becomes 6 times as large.
It becomes 9 times as large.
3. A trapezoid has vertices (0,0), (10,0), (7,4), and (2,4), connected in that order. What is its area?
20 square units
30 square units
40 square units
60 square units
4. A flower bed is shaped like a trapezoid. Its parallel boundaries are 12 m and 18 m long, and they are 5 m apart measured perpendicularly. What is the bed's area?
60 m²
90 m²
150 m²
75 m²
5. An isosceles trapezoid with bases of 10 cm and 16 cm and a height of 4 cm is split into a 10-by-4 rectangle and two congruent right triangles. What is its total area?
40 cm²
52 cm²
64 cm²
104 cm²
6. Two trapezoids have the same pair of base lengths. The second trapezoid's height is twice the first one's height. How do their areas compare?
The second area is four times the first area.
The second area is half the first area.
The two areas are equal.
The second area is twice the first area.
7. The average of a trapezoid's two base lengths is 13 cm, and its height is 7 cm. What is its area?
45.5 cm²
70 cm²
91 cm²
182 cm²
8. A trapezoid has bases of 9 cm and 15 cm and one slanted side of 5 cm. No height, angle, or second slanted side is given. What can you conclude about its area?
The area cannot be determined uniquely from the given information.
The area is 30 cm² because the slanted side is the height.
The area is 60 cm² because the bases differ by 6 cm.
The area is 75 cm² because 15 × 5 gives the area.
9. A trapezoid has parallel bases of 8 cm and 14 cm and a height of 5 cm. What is its area?
55 cm²
44 cm²
70 cm²
110 cm²
10. A trapezoid has parallel sides of 9 m and 15 m, nonparallel sides of 5 m each, and a perpendicular height of 4 m. What is its area?
28 m²
34 m²
48 m²
60 m²
11. A metal panel is a trapezoid with parallel bases of 1.2 m and 80 cm and a perpendicular height of 50 cm. What is its area in square meters?
0.05 m²
1.00 m²
0.50 m²
5.00 m²
12. A trapezoid has an area of 72 m² and parallel bases of 10 m and 14 m. What is its perpendicular height?
6 m
5 m
3 m
8 m
13. Which procedure correctly finds the area of a trapezoid with parallel base lengths b₁ and b₂ and perpendicular height h?
Add the bases and the height, then divide the total by 2.
Add the bases, multiply by the height, and divide the product by 2.
Multiply the two bases and the height, then divide the product by 2.
Subtract the shorter base from the longer base, then multiply by the height.
14. A trapezoid's base lengths and height are measured in centimeters. Which unit should be used for its area?
Cubic centimeters (cm³)
Centimeters (cm)
Square centimeters (cm²)
Square meters (m²) without converting
15. The midsegment of a trapezoid—the segment parallel to the bases whose length equals their average—is 11 m long. If the trapezoid's height is 9 m, what is its area?
99 m²
90 m²
198 m²
49.5 m²
16. A trapezoid has an area of 84 cm², a height of 7 cm, and one base of 10 cm. How long is the other base?
12 cm
14 cm
18 cm
16 cm