Question

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

Explanation:

Step1: Find area of outer triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the outer - triangle with base $b = 25$ mi and height $h=39$ mi, $A_{outer}=\frac{1}{2}\times25\times39=\frac{975}{2}=487.5$ square miles.

Step2: Find area of inner triangle

For the inner - triangle with base $b = 17$ mi and height $h = 27$ mi, $A_{inner}=\frac{1}{2}\times17\times27=\frac{459}{2}=229.5$ square miles.

Step3: Find area of shaded region

The area of the shaded region $A = A_{outer}-A_{inner}$. So, $A=487.5 - 229.5=258$ square miles.

Answer:

258 square miles