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
[tex]A=\dfrac{1}{2}(a+b)h.[/tex]
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
[tex]A\\\\\\=\dfrac{1}{2}(a+b)h\\\\\\=\dfrac{1}{2}(6+22)\times4\\\\=2\times28\\\\=56~\textup{in}^2.[/tex]
Thus, the required area of the trapezoid ABCD is 56 in².
Option (B) is CORRECT.
