Answer:
Step-by-step explanation:
alright, lets get started.
suppose the width is w.
the length is 6 feet greater than the width, so
length will be = w+6
area of the trampoline = length*width
[tex]area=(w+6)*w = w^2 +6w[/tex]
as per given, area is 112, so
[tex]w^2+6w=112[/tex]
subtracting 112 in both sides
[tex]w^2+6w-112=0[/tex]
factoring
[tex](w-8)(w+14)=0[/tex]
So, it will give two values of w
w=8 and w = -14
The width can't be negative, so
width = 8 feet. : answer
Hope it will help :)