Question

find the area of the shaded region.
625 square feet
130 square feet
495 square feet
73 square feet

Explanation:

Step1: Calculate area of the square

The area formula for a square is $A = s^2$, where $s$ is the side - length. Here, $s = 25$ ft, so $A_{square}=25\times25 = 625$ square feet.

Step2: Calculate area of the parallelogram

The area formula for a parallelogram is $A = b\times h$, where $b$ is the base and $h$ is the height. Here, $b = 13$ ft and $h = 10$ ft, so $A_{parallelogram}=13\times10 = 130$ square feet.

Step3: Calculate area of the shaded region

The area of the shaded region is the area of the square minus the area of the parallelogram. So $A_{shaded}=A_{square}-A_{parallelogram}=625 - 130=495$ square feet.

Answer:

495 square feet