Question

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

and width.

Answer 1

length = 34 yards

Width = 26 yards

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