Question

Find the area of the trapezoid by decomposing it into other shapes.

A) 25 cm?
B) 27 cm?
C) 30 cm?
D) 35 cm?

Answer 1

C

Explanation:

You can decompose it into two triangles and one rectangle. The rectangle has a length of 4 and the width is 5. The area of the rectangle is 20.

The right triangle has a height of 5 and a base of 1. You multiply it to get 5 then divide by 2. The right triangle has an area of 2.5.

The left triangle has a height of 5 and a base of 3. (7cm - 4 cm) Multiply to get 15 and divide by 2. The left triangle has an area of 7.5.

Add all three up.

20 + 2.5 +7.5

30