Problema Solution
a rectangular parking lot has a length that is 6 yards greater than the width. The area of the parking lot is 160 square yards. Find the length and the width.
Answer provided by our tutors
let
l = the length of the parking
w = the width of the parking
a rectangular parking lot has a length that is 6 yards greater than the width
l = w + 6
the area of the parking lot is 160 square yards
w*l = 160
plug l = w + 6 into the last equation
w(w + 6) = 160
by solving the quadratic equation we find and consider the positive roots
w = 10 yards
l = 10 + 6 = 16 yards
click here to see the step by step solution of the quadratic equation
the length is 16 yards and the width is 10 yards.