Question

what is the area of this figure?
2 mi
2 mi
3 mi
7 mi
5 mi
7 mi
9 mi
if necessary, round your answer to the nearest hundredth.
square miles

Explanation:

Step1: Calculate area of large rectangle

Area = length × width = $9×7 = 63$ sq mi

Step2: Calculate area of vertical rectangle

Area = $3×(9-7) = 3×2 = 6$ sq mi

Step3: Calculate area of quarter-circle

Radius = $5+2=7$ mi, area = $\frac{1}{4}πr² = \frac{1}{4}×π×7² ≈ 38.48$ sq mi

Step4: Sum all areas

Total area = $63+6+38.48 = 107.48$ sq mi

Answer:

107.48