Question

A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer that its width w. find the dimensions of the driveway if the driveway if it has an area of 260 square feet.

Answer 1

l (length) = w+16
l x w = Area
260 = l x w
260 = (w+16) x w
260 = w^2 + 16w
w^2 + 16w -260 = 0
(w+26) (w-10) = 0

w= -26 (reject) or w = 10

if w = 10, l = 26
10ft x 16 ft