brennayoung587 brennayoung587
  • 02-03-2020
  • Mathematics
contestada

The length of a rectangle is 5 inches longer than the width. The rectangles perimeter is 66in. What’s the length and width?

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 02-03-2020

Answer:

Width is 14, Length is 19

Step-by-step explanation:

Step 1:  Convert words into an expression

The length of a rectangle is 5 inches longer than the width.

L = 5 + w

Step 2:  Plug into the formula

P = 2w + 2L

66 = 2w + 2(5 + w)

66 = 2w + 10 + 2w

66 = 4w + 10

Step 3:  Solve for width

4w + 10 = 66

4w + 10 - 10 = 66 - 10

4w / 4 = 56 / 4

w = 14

Step 4:  Find the length

L = 5 + w

L = 5 + 14

L = 19

Answer:  Width is 14, Length is 19

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