Question

The length of a rectangle is 2 yards longer than its width. If the perimeter of the rectangle is 64 yards, find its length and width.

Answer 1

Length: 17 yards

Width: 15 yards

Explanation:

If the length is 2 yards longer than the width, then the width is w, and the length is w+2

Equation for perimeter is
`P =2l+2w`, where:

P = Perimeter

l = length

w = width

Plug in the values:

64 = 2(w+2) + 2w

Distribute:

64 = 2w + 4 + 2w

Combine like terms:

64 = 4w + 4

Subtract 4 from both sides:

60 = 4w

Divide 4 from both sides:

15 = w

So if w = 15, then

Width = w, which is 15 yards.

Length = w+2, which is 15+2 = 17 yards.

Hope this answer helped! :)