what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the…

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

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

Answer

Explanation:

Step1: Find area of outer square

The area formula for a square is $A = s^2$, where $s$ is the side - length. For the outer square with $s = 68.3$ km, $A_{outer}=68.3^2=68.3\times68.3 = 4664.89$ km².

Step2: Find area of inner square

For the inner square with $s = 49.7$ km, $A_{inner}=49.7^2=49.7\times49.7 = 2470.09$ km².

Step3: Find area of shaded region

The area of the shaded region $A$ is the difference between the area of the outer square and the area of the inner square. So $A=A_{outer}-A_{inner}=4664.89 - 2470.09=2194.80$ km².

Answer:

2194.80