Problema Solution

the area of a rectangular wall of a barn is 176 square feet. its length is 6 feet longer than twice its width. find the length and width of the wall of the barn

Answer provided by our tutors

let


w = the width of the wall, w>0

l = the length of the wall, l>0

Area = 176 ft^2 and Area =w*l


w*l = 176


length is 6 feet longer than twice its width


l = 2w + 6


by solving the system of equations


w*l = 176

l = 2w + 6


we find


w = 8 ft


l = 22 ft


the length and the width of the wall of the barn are 22 ft an 8 ft.