Question 970445
L*w=Area=112 in^2

w
L=w +6

w(w+6)=112
w^2+6w-112=0   This is distributing the w and subtracting 112 from both sides.  I now have a quadratic equation.

Factor it

4/23  no  8/14 yes

(w+14)(w-8)=0   ; This works if either w+14 or w-6=0

w=-14, w=8  ; only the second makes sense

length=8+6=14

14*8=112  (in*in=in^2).

The length is 14 and the width is 8