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.

Question

Blaze Duarte

Mathematics

9 March, 07:46

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.

+3

Answers (1)

Know the Answer?

Carey · Answer 1

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!