nevesolano nevesolano
  • 17-04-2021
  • Mathematics
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the length of a rectangle is four times its width. If the perimeter of the rectangle is 100 cm, find its length and width

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azulablossom334455 azulablossom334455
  • 17-04-2021

Answer: Let l = length

Let w = width

l = 4w (length is 4x width)

2l + 2w = 100 (perimeter is two lengths and two widths)

2(4w) + 2w = 100 (substitute)

8w + 2w = 100 (solve)

10w = 100

w = 10

l = 4(10) (plug in)

l = 40

The length of the rectangle is 40in and the width is 10i

Step-by-step explanation:

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