Question

what is the area of the shaded region? square kilometers 39 km 39 km 28 km 28 km

Explanation:

Step1: Calculate the area of the larger square

The formula for the area of a square is \(A = s^2\), where \(s\) is the side - length. For the larger square with side - length \(s = 39\) km, the area \(A_{1}=39\times39=1521\) square kilometers.

Step2: Calculate the area of the smaller square

For the smaller square with side - length \(s = 28\) km, using the area formula \(A = s^2\), the area \(A_{2}=28\times28 = 784\) square kilometers.

Step3: Calculate the area of the shaded region

The area of the shaded region \(A\) is the difference between the area of the larger square and the area of the smaller square. So \(A=A_{1}-A_{2}\). Substitute \(A_{1}=1521\) and \(A_{2}=784\) into the formula: \(A = 1521-784=737\) square kilometers.

Answer:

737