Answer:
The width of the trampoline is 8 feet.
Step-by-step explanation:
Area of rectangular trampoline = 112 [tex]ft^{2}[/tex]
let the width of the trampoline be represented by w, but,
length = w + 6
Given that the situation has been represented by the equation;
[tex]w^{2}[/tex] + 6w - 112 = 0
[tex]w^{2}[/tex] + 14w - 8w - 112 = 0
([tex]w^{2}[/tex] + 14w) - (8w + 112)
w(w + 14) - 8(w + 14)
(w + 14)(w - 8)
So that;
w + 14 = 0 or w - 8 = 0
w = -14 or w = 8
Thus, w = 8
The width of the trampoline is 8 feet.
