Question

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

Answer 1

Answer:

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

Step-by-step 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:

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