Question

A rectangular garden is fenced on all sides with 248 feet of fencing. The garden is 6 feet longer than it is wide. Fine the length and width of the garden

Answer 1

The total length of the fencing is 248 ft; we call this the "perimeter" of the garden.  Since P = 2W + 2L in general, here:

                       P = 248 ft = 2W + 2(W+6), or   248 ft = 4W + 12.

Subtracting 12 from both sides of this equation:  236 ft = 4W.  Then W = 59 ft, which means that L = 65 ft.