Question

How do i solve this.

Answer 1

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!