Area of Trapezoids

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Show your work for each problem.

1.
What is the formula for the area of a trapezoid?
1. a)
2. b)
3. c)
4. d)
2.
In a trapezoid, what are the 'bases'?
1. a)The two parallel sides
2. b)The two non-parallel sides
3. c)All four sides
4. d)The height and one side
3.
A trapezoid has bases of 6 cm and 10 cm, and a height of 4 cm. What is the area in cm²?
4.
Find the area of a trapezoid with bases 5 m and 9 m, and height 6 m. Answer in m².
5.
Calculate the area of a trapezoid with bases 8 cm and 12 cm, and height 5 cm.
6.
A trapezoid has bases of 7 m and 11 m, with a height of 8 m. What is its area?
1. a)72 m²
2. b)88 m²
3. c)56 m²
4. d)144 m²
7.
A trapezoidal garden has parallel sides of 4.5 m and 7.5 m, with a perpendicular distance of 6 m. What is the area in m²?
8.
A roof section is trapezoidal with parallel edges of 5 m (top) and 9 m (bottom), and height 3 m. Find the area.
9.
Calculate the area of a trapezoid with bases of 3.5 cm and 6.5 cm, and height of 4 cm.
10.
Which measurement must be perpendicular to both bases when calculating trapezoid area?
1. a)The height
2. b)One of the bases
3. c)The slant side
4. d)The perimeter
11.
A trapezoid has an area of 60 cm², a height of 8 cm, and one base of 5 cm. What is the other base in cm?
12.
A trapezoid has an area of 54 m², bases of 6 m and 12 m. Find the height.
13.
A swimming pool is trapezoid-shaped with widths of 8 m and 14 m at opposite ends, and length of 25 m. What is the surface area in m²?
14.
A trapezoid has an area of 84 cm², height of 7 cm, and one base is twice the other. Find both bases.
15.
If both bases of a trapezoid are doubled while the height stays the same, how does the area change?
1. a)The area doubles
2. b)The area triples
3. c)The area stays the same
4. d)The area quadruples
16.
What is the area of a trapezoid with bases 15 cm and 25 cm, and height 8 cm? Answer in cm².
17.
A trapezoid has bases of 4 m and 6 m with a height of 3 m. Find the area step by step.