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 kilometers

Explanation:

Step1: Find area of large triangle

The formula for the area of a triangle is $A = \frac{1}{2}bh$. For the large triangle with base $b = 14$ km and height $h=17$ km, $A_{1}=\frac{1}{2}\times14\times17= 119$ km².

Step2: Find area of small triangle

For the small triangle with base $b = 7$ km and height $h = 9$ km, using the area - of - triangle formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times7\times9 = 31.5$ km².

Step3: Find area of shaded region

The area of the shaded region $A$ is the area of the large triangle minus the area of the small triangle. So $A=A_{1}-A_{2}=119 - 31.5=87.5$ km².

Answer:

87.5 square kilometers