Answer:
D. [tex]112\text{ in}^2[/tex]
Step-by-step explanation:
We have been given an image of a trapezoid. We are asked to find the area of our given trapezoid.
[tex]\text{Area of trapezoid}=\frac{1}{2}*(\text{Sum of parallel sides})*\text{Height}[/tex]
Since side BC is perpendicular to DC, so height of trapezoid will be equal to BC that is 7 inches.
Upon substituting our given values in above formula, we will get:
[tex]\text{Area of trapezoid}=\frac{1}{2}*(\text{14 in+18 in})*\text{7 in}[/tex]
[tex]\text{Area of trapezoid}=\frac{1}{2}*(\text{32 in})*\text{7 in}[/tex]
[tex]\text{Area of trapezoid}=\text{16 in}*\text{7 in}[/tex]
[tex]\text{Area of trapezoid}=112\text{ in}^2[/tex]
Therefore, the area of our given trapezoid is 112 square inches and option D is the correct choice.
