cartergeddes cartergeddes
  • 12-03-2022
  • Mathematics
contestada

The length of a rectangle is three times the width. The perimeter is 96 cm. Find the length and width of the rectangle.

Respuesta :

gacathcarts gacathcarts
  • 12-03-2022

Answer:

Length = 36cm

Width = 12 cm

Step-by-step explanation:

Perimeter = all the sides added up.

Perimeter of a rectangle = L + L + W + W OR  2L + 2W

We are given that the length = 3 times the width. So L = 3W

P = 2L + 2W

96 = 2 (3W) + 2W

96 = 6W +2W

96 = 8W (divide both sides by 8)

W = 12 cm

To find the length-  we know the length is 3 times the width.

So L = 3 x 12 = 36 cm

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