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

$A=\dfrac{1}{2}(a+b)h.$

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

$A\\\\\\=\dfrac{1}{2}(a+b)h\\\\\\=\dfrac{1}{2}(6+22)\times4\\\\=2\times28\\\\=56~\textup{in}^2.$

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

Option (B) is CORRECT.