The surface area of the box of cereal displayed is 2x^2+48x+88. what is the value of x if the box of cereal has a total surface area of 192 in

And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.

Step-by-step explanation:

For this case the surface area is given by this formula:

  (1)

For this case we have that the total surface area is 192, so we need to set up equal to 192 and solve for the value of x like this:

We can set up the last equuation equal to 0 like this:

We can divide both sides of the equation by 2 and we got:

Now we can use the quadratic formula in order to solve the value of x given by:

For our equation a = 1, b = 24 and c = -52 and if we replace we got:

And the two solutions are:

And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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