The length of a rectangle is 9 inches more than the width. If the perimeter is 110 inches,what are the length and the width?

Answer 1

width = x

length = x + 9

Perimeter = 2w + 2l = 2x + 2(x + 9) = 2x + 2x + 18 = 4x + 18

Perimeter = 110

4x + 18 = 110

4x = 110 - 18

4x = 92

x = 92/4

x = 23

Thus,

width = x = 23

length = x + 9 = 23 + 9 = 32

Check.

P = 4(23) + 18 = 92 + 18 = 110