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: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Let's assume the larger triangle has base $b_1 = 28$ km and height $h_1=33$ km, and the smaller triangle has base $b_2 = 21$ km and height $h_2 = 18$ km.

Step2: Calculate area of larger triangle

$A_1=\frac{1}{2}\times b_1\times h_1=\frac{1}{2}\times28\times33 = 462$ square - kilometers.

Step3: Calculate area of smaller triangle

$A_2=\frac{1}{2}\times b_2\times h_2=\frac{1}{2}\times21\times18=189$ square - kilometers.

Step4: Calculate area of shaded region

The area of the shaded region $A = A_1 - A_2$. So, $A=462-189 = 273$ square - kilometers.

Answer:

273 square kilometers