Question

what is the area of the shaded region? 15 mi 9 mi 8 mi 13 mi write your answer as a whole number or a decimal rounded to the nearest hundredth. square miles

Explanation:

Step1: Find area of large triangle

Use formula $A=\frac{1}{2}bh$, where $b = 13$ mi and $h=15$ mi. So $A_{1}=\frac{1}{2}\times13\times15=\frac{195}{2}=97.5$ square - miles.

Step2: Find area of small triangle

Use formula $A=\frac{1}{2}bh$, where $b = 8$ mi and $h = 9$ mi. So $A_{2}=\frac{1}{2}\times8\times9=36$ square - miles.

Step3: Find area of shaded region

Subtract area of small triangle from area of large triangle. $A = A_{1}-A_{2}=97.5 - 36=61.5$ square - miles.

Answer:

61.5