Question

The are of a rectangular trampoline is 112ft. The length of the trampoline is 6ft greater than the width of the trampoline. This situation can be represented by the equation x^2+6x-112=0 what is the width of the trampoline in feet

Answer 1

8cm

Explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x 8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14