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

Explanation:

Step1: Calculate area of outer rectangle

The area formula for a rectangle is $A = l\times w$. For the outer - rectangle with length $l = 58.1$ mi and width $w = 51.6$ mi, the area $A_{outer}=58.1\times51.6$. $A_{outer}=58.1\times51.6 = 3007.96$ square miles.

Step2: Calculate area of inner rectangle

For the inner - rectangle with length $l = 34.2$ mi and width $w = 27.7$ mi, the area $A_{inner}=34.2\times27.7$. $A_{inner}=34.2\times27.7=947.34$ square miles.

Step3: Calculate area of shaded region

The area of the shaded region $A$ is the difference between the area of the outer rectangle and the area of the inner rectangle, i.e., $A = A_{outer}-A_{inner}$. $A=3007.96 - 947.34=2060.62$ square miles.

Answer:

$2060.62$