Question

The surface area of the box of cereal displayed below is 2x^2+48x+88.What is the value of x if the box of cereal has an area of 192in^2?

Answer 1

Value of x is 2

Explanation:

Surface area is given by 2x²+48x+88

We need to find x when surface area is 192.

A = 2x²+48x+88

2x²+48x+88 = 192

2x²+48x- 104 = 0

x²+ 24x - 52 = 0

( x - 2 ) ( x + 26 ) = 0

x = 2 or x = -26 not possible

Value of x is 2