Answer:
The area of Figure ABCD is:
120 square inches.
Step-by-step explanation:
We know that the figure is the shape of a trapezoid .
and we know that the area of trapezoid is given by:
[tex]Area=\dfrac{1}{2}\times (sum\ of\ the\ bases)\times Height[/tex]
i.e. If B and B' are two bases of the trapezoid and H is the height of the trapezoid then,
[tex]Area=\dfrac{1}{2}\times (B+B')\times H[/tex]
Here in the figure we have:
[tex]B=17\ inches[/tex]
[tex]B'=13\ inches[/tex]
[tex]H=8\ inches[/tex]
Hence, the area of figure is:
[tex]Area=\dfrac{1}{2}\times (13+17)\times 8\\\\i.e.\\\\Area=\dfrac{1}{2}\times 30\times 8\\\\Area=120\ \text{square\ inches}[/tex]
