MATH SOLVE

5 months ago

Q:
# The length of a rectangular driveway is four feet less than five times the width. The area is 672 feet squared. Find the width and length of the driveway

Accepted Solution

A:

Answer: length of the drive way = 56 feetWidth of the driveway = 12 feetStep-by-step explanation:The rectangular driveway has two equal lengths and two equal widths. The area of the driveway is expressed as length,l × width,wThe area is 672 feet squared. It means thatL×W = 672The length of the rectangular driveway is four feet less than five times the width. It means thatL = 5W - 4 Substituting L = 5W - 4 into LW = 672W(5W - 4) = 6725W^2 - 4W - 672 = 05W^2 + 56W - 60W - 672 = 0W(5W + 56) - 12(5W + 56) = 0(W - 12)(5W + 56) = 0W - 12 = 0 or 5W + 56 = 0W = 12 or 5W = -56W= 12 or W = - 56/5The Width cannot be negative , so W = 12LW = 67212L = 672L = 672/12 = 56