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: Calculate area of large triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 34$ km and height $h=26$ km, $A_{1}=\frac{1}{2}\times34\times26=442$ square - km.

Step2: Calculate area of small triangle

For the small triangle with base $b = 25$ km and height $h = 13$ km, $A_{2}=\frac{1}{2}\times25\times13=\frac{325}{2}=162.5$ square - km.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=442 - 162.5=279.5$ square - km.

Answer:

279.5