the perimeter of a rectangle is 90 inches. The width of the rectangle is 13 inches less than the length of the rectangle. Find the dimensions of the rectangle.

The area of the rectangle is 2820 square inches. The length is 60 inches. The width is 47 inches.

Step-by-step explanation:

Since we know the equation to find the width, we have to set them both to the perimeter of 90 inches. We will use the variable x to represent the length.

x + x - 30 = 90

2x - 30 = 90

You would then subtract 30 from both sides.

2x = 60

Divide by 2 on both sides, finding that the length (x) is 30 inches.

x = 30 inches.

Then, subtract 13 inches from the length to find your width.

60 - 13 = 47 inches

To find your area, you would multiply both of your factors (length and width) together.

60 x 47 = 2,820

And those are your answers!