Question

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

Answer 1

Perimeter = 2L + 2W = 256

"8 feet longer than it is wide"
translates to
L = 8 + W

we plug that into the first equation and get
2(8 + W) + 2W = 256
now we solve for W

distribute the 2
16 + 2W + 2W = 256

add like terms
16 + 4W = 256

subtract 16 from both sides
4W = 240

divide both sides by 4
W = 60

plug that into
L = 8 + W
and solve for L now

L = 8 + 60
so
L = 68

therefore your
length = 68
and
width = 60