Question

What is the area of the trapezoid? The diagram is not drawn to scale.

Answer 1

The correct answer to this question would be 72 cm squared.

Answer 2

The area of trapezoid is 72 cm²

Explanation:

Given : A trapezoid with given dimensions.

We have to find the area of trapezoid ABCD.

Consider the given trapezoid ABCD ,

AB = EF = 8 cm

and CE = FD = 4 cm

Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm

Thus, Area of trapezoid =
`(1)/(2)\cdot \text{(Sum of parallel sides)} \cdot height`

here, height = 6 cm

and sum of parallel sides = AB + CD = 16 + 8 = 24 cm

Thus, Area of trapezoid =
`(1)/(2)\cdot 24 \cdot 6`

Simplify, we have,

Area of trapezoid = 72 cm²

Thus, The area of trapezoid is 72 cm²