ta5413491 ta5413491
  • 19-05-2022
  • Mathematics
contestada

The length of a rectangle is 5times
the breadth, if the perimeter of a
rectangle is 72cm find the area.

Respuesta :

jcherry99
jcherry99 jcherry99
  • 20-05-2022

Answer:

Step-by-step explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

Start with the Perimeter. Solve for w.

P = 2w + 2L                  Substitute the givens

72 = 2w + 2*5w            Combine

72 = 2w + 10w              Combine   Combine again

72 = 12 w                       Divide by 12

72/12 = 12w/12

w = 6

Now for the area

Area = 5w * w

w = 6

Area = 5*6*6

Answer: Area = 180 cm^2

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