Question

what is the area of the shaded region? 18.9 mi 12.2 mi 10.6 mi 16.8 mi write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The area formula for a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 18.9$ mi and height $h=16.8$ mi, $A_{1}=\frac{1}{2}\times18.9\times16.8 = 158.76$ square - miles.

Step2: Calculate area of small triangle

For the small triangle with base $b = 12.2$ mi and height $h = 10.6$ mi, $A_{2}=\frac{1}{2}\times12.2\times10.6=64.66$ square - miles.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=158.76 - 64.66=94.10$ square - miles.

Answer:

$94.10$ square miles