Question

What is the area of the given trapezoid ABCD? 

A. 28 in2   B. 56 in2   C. 110 in2   D. 112 in2

Answer 1

B. 56

because ((6 + 22) x 4) / 2

Answer 2

Answer: The correct option is (B) 56 in².

Step-by-step explanation: We are given to find the area of the trapezoid ABCD shown in the figure.

We know that

AREA of a trapezoid with length of the parallel sides a units, b units and height h units is given by

`A=(1)/(2)(a+b)h.`

For the given trapezoid ABCD, we have

a = AB = 6 in, b = CD = 22 in and height, h = 4 in.

Therefore, the AREA of trapezoid ABCD is given by

`A\\\\\\=(1)/(2)(a+b)h\\\\\\=(1)/(2)(6+22)*4\\\\=2*28\\\\=56~\textup{in}^2.`

Thus, the required area of the trapezoid ABCD is 56 in².

Option (B) is CORRECT.