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 $b = 19.8$ km and height $h = 13.3$ km, we have $A_{1}=\frac{1}{2}\times19.8\times13.3 = 131.67$ square - km.

Step2: Find area of small triangle

For the small triangle with base $b = 11.6$ km and height $h = 7.3$ km, using the area formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times11.6\times7.3=42.46$ square - km.

Step3: Find area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_{1}-A_{2}=131.67 - 42.46=89.21$ square - km.

Answer:

89.21