If the volume of a cereal box is 198 and the width is 2inches. They say the height will be 2 more inches then the length. So whats the height and length

Answer 1

x represent the length

198 = x(x + 2)(2)

198 = 2x² + 4x

0 = 2x² + 4x - 198

0 = x² + 2x - 99

Can you solve for x and answer?

Answer 2

Let x = length

Let x + 2 = height

V= l w h

198 = (x)(2)(x+2)

198 = (2x)(x+2) I multiplied the 2 and the x

198 = 2x² + 4x Distributed the 2x

2x²+4x-198 = 0 Quadratic equation that I set equal to 0

x²+2x-99=0 I divided everything by 2 to make the numbers smaller

(x+11)(x-9)=0 Factored

x+11 = 0 and x - 9 = 0 Set each factor equal to 0

x = -11 and x =9 I solved for x.

Reject -11 because you can't have negative size.

Answers length = 9 and height = 9 + 2 = 11