The area of a rectangular wall of a barn is 20 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn.

Answer 1

w(2w+6) = 20

w(w+3)=10

w^2 + 3w - 10 = 0

(w + 5 )( w - 2 ) = 0

w+5=0 or w-2=0

w=-5 is disqualified because negative measures are not allowed

w=2 ---> L = 2(2)+6 = 4+6=10

rectangle 2 x 10