. The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than the width of the trampoline
. This situation can be represented by the equation w 2 + 6 w - 112 = 0. What is the width of the trampoline in feet?
1 answer:
Answer:
The width of the trampoline is 8 feet.
Step-by-step explanation:
Area of rectangular trampoline = 112 
let the width of the trampoline be represented by w, but,
length = w + 6
Given that the situation has been represented by the equation;
+ 6w - 112 = 0
+ 14w - 8w - 112 = 0
( + 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.
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