Question

A rectangle’s perimeter and its area have the same numerical value. The length of the rectangle is 6. What is the width of the rectangle in units?.

Answer 1

Explanation:

Formula

P = 2*w + 2*L

Area = L*w

Givens

Area = P

L = 6

Create equation and Solve

LW = 2w + 2L

6w = 2w + 2*6

6w = 2w + 12 Subtract 2w from both sides

6w - 2w = 12 Combine

4w = 12 Divide by 4

4w/4 = 12/4

w = 3

Check

Area = 6*3 = 18

Perimeter = 2*3 + 2*6

Perimeter = 6 + 12 Combine

Perimeter = 18

It does check.