Question

You have 540 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 50 feet greater than the width. Find the length and width of the garden if you use all of the fencing.

Answer 1

P = 2L + 2W

540 = 2(W + 50) + 2W

540 = 4W + 100

440 = 4W

110 = W

Answer 2

x + (x+50) = 540/2 = 270

2 x + 50 = 270

2 x = 220

x = 110
x+50 = 160