contestada


The width of a rectangle is 8 yards less than the length. The perimeter is 120 yards. Find the length
and width.

Respuesta :

devishri1977

Answer:

length = 34 yards

Width = 26 yards

Step-by-step explanation:

Forming algebraic expression and solving:

     Let the length = x yards

                 Width   = (x - 8) yards

Perimeter of rectangle = 120 yards

2*length + 2* width = 120

           2x + 2*(x - 8) =120

          2x + 2x - 8*2 = 120

           2x + 2x - 16  = 120

Combine like terms,

                    4x - 16 = 120

Add 16 to both sides,

                           4x = 120 + 16

                          4x = 136

                             x= 136 ÷ 4

                             x = 34

Length = 34 yards

Width = 34 - 8 = 26 yards

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