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Sagot :
ANSWER
230 square miles
EXPLANATION
We can divide this figure as shown in the picture: 2 rectangles and a right triangle. We find the area of each figure and then we add them up.
One of the rectangles's length is 5 mi and its width is 14 mi. Its area is:
[tex]A_{\text{rectangle}1}=5mi\times14mi=70mi^2[/tex]The other rectangle's lenght is 10mi and its width is 5mi. Its area is:
[tex]A_{\text{rectangle}2}=10mi\times5mi=50mi^2[/tex]The triangle height is:
[tex]3mi+5mi+10mi+4mi=22mi[/tex]And its base is 10mi. Its area is:
[tex]A_{\text{triangle}}=\frac{22mi\times10mi}{2}=\frac{220mi^2}{2}=110mi^2[/tex]The area of the figure is:
[tex]\begin{gathered} A=A_{\text{rectangle}1}+A_{\text{rectangle}2}+A_{\text{triangle}} \\ A=70mi^2+50mi^2+110mi^2 \\ A=230mi^2 \end{gathered}[/tex]
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