Question

the perimeter of the rectangle is 86 inches. if the length is 3 inches longer that the width, find the width of a rectangle.

Answer 1

The length is 23in and the width is 20 inches

Answer 2

Width = 20 inches

Explanation:

Perimeter = 86 inches

Width = W

Length = 3 + W

Use the formula 2L + 2W = P to solve

Substitute new value for length (3 + w) into the formula

2(3 + W) + 2W = P

Change perimeter into the equation to 86 inches (Given)

2(3 + W) + 2W = 86

Multiply

6 + 2W + 2W = 86

Add the W's

6 + 4W = 86

Subtract 6 from both sides of the equation

4W = 80

Divide both sides of the equation by 4

W = 20 inches

Hope this helps :)