The perimeter of a rectangular garden is 114 meters. The length is 6 meters longer than twice the width. Find the dimensions of the garden.

Width = x

length = x + 6

P = 2W + 2L = 114

2x + 2 (x + 6) = 4x + 12 = 114

4x = 114 - 12 = 102

x = 102/4 = 25.5

so W = 25.5

L = 25.5 + 6 = 31.5

Double check:

P = 2W + 2L = 2 (25.5) + 2 (31.5) = 51 + 63 = 114