Problema Solution
The length of the top of a workbench is 4 feet greater than the width. The area of the top of the workbench is 96 square feet, find the length and width of the workbench
Answer provided by our tutors
let
l = the length of the workbench, l>0
w = the width of the workbench, w>0
the length of the top of a workbench is 4 feet greater than the width
l = w + 4
the area of the top of the workbench is 96 ft^2
l*w = 96
plug l = w + 4 in l*w = 96
(w + 4)w = 96
by solving the quadratic equation we find and consider the positive roots
w = 8 ft
click here to see the step by step solution of the quadratic equation
l = w + 4 = 8 + 4 = 12 ft
l = 12 ft
the length of the workbench is 12 ft.
the width of the workbench is 8 ft.