Question

The area of the table top in Cindy's kitchen is 9x^2-48x+64 square inches. What is the length of each side of the table in terms of x?length: (_________ x _________ __________)

Answer 1

The area of the table is represented by the following formula:

`A=b\cdot h`

Then, since the area is represented by the expression:

`9x^2-48x+64`

We can factorize, and get expressions for base and height:

*Apply form of the square binomial

`\begin{gathered} a^2-2ab+b^2=(a-b)^2 \\ (3x)^2-2\cdot3x\cdot8+8^2=(3x-8)^2 \\ \end{gathered}`

Then,

Base=3x-8

Height= 3x-8