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loris [4]
3 years ago
15

How do i solve this.

Mathematics
1 answer:
nignag [31]3 years ago
4 0

Let us set up some variables:

  • L: Length
  • W: Width

Now let us set up some equations based on the facts:

  • length of rectangle is 4 times its width --> L = 4W
  • perimeter of rectangle is 80 --> 2L + 2W = 80

Equations:

   L = 4W     -- equation 1

   2L + 2W = 80 -- equation 2

   Plug the value of L from equation 1 into equation 2

    2(4W) + 2W = 80

     8W + 2W = 80

        10W = 80

           W = 8 -- equation 3

   

   Plug the value of W from equation 3 into equation 1:

    L = 4W = 4 * 8 = 32

Therefore the length is 32 and the width is 8.

Hope that helps!

     

   

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