Question

Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches

Answer 1

`Area = 4h^2-56h +144`

Explanation:

Given

See attachment for complete question

Required: The base area.

From the question, we have the initial dimensions to be:

`Length = 12`

`Width = 12`

h inch were removed from each corner to form the new base. So, the dimension of the new base is:

`Base\ Length = Length - h - h`

`Base\ Length = Length - 2h`

`Base\ Width = Width - h-h`

`Base\ Width = Width - 2h`

The area of the base is calculated by multiplying the base dimensions

`Area = Base\ Length * Base\ Width`

`Area = [Length - 2h] * [Width - 2h]`

`Area = [12 - 2h] * [12 - 2h]`

Expand

`Area = 12[12 - 2h] -2h [12 - 2h]`

`Area = 144 - 28h -28h + 4h^2`

`Area = 144 -56h + 4h^2`

Rewrite as:

`Area = 4h^2-56h +144`