Can anyone solve this ?

Question

The area of a rectangular wall of a barn is 119 square feet. It's length is 10 feet longer than the width. Find the length and the width of the wall of the barn .

Answer 1

w=width

w+10=length

A=lw

119=(w+10)(w)

119=w^2+10w

w^2+10w-119=0

119=7*17

you can really stop here because you have the answer: w=7 feet and l=17 feet

however...

(w+17)(w-7)=0

w-7=0

w=7 and w+10=17

basically what you are doing is factoring 119 such that one factor is 10 more than the other, as you can see