Question

the area of a rectangular wall of a barn is 260 square feet. it's length is 6 feel longer than twice it's width. find the length and width of the wall of the barn

Answer 1

L=2w+6
260=lw

Substitute for l
260=w(2w+6)
260= 2w^2+6w
2w^2+6w-260=0
2(w^2+3w-130)
2(w+13)(w-10)
w=-13, w=10

Since width cannot be negative it must be 10
260=l(10)
26=l

Final answer: length-26 ft, width-10ft