ahmadfarriz5989 ahmadfarriz5989
  • 11-03-2022
  • Mathematics
contestada

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?.

Respuesta :

jcherry99
jcherry99 jcherry99
  • 14-03-2022

Answer:

Step-by-step 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.

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