The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?
Perimeter = 2W + 2L ..... and the width is 18 more than the length....therefore
Perimeter = 2[L + 18] + 2L
72 = 2L + 36 + 2L
72 = 4L + 36 subtract 36 from each side
36 = 4L divide both sides by 4
9 = L and the width is 18 more = 27
So....the area = W x L = 27 x 9 = 243 square feet