Answer :
The area of the table is represented by the following formula:
[tex]A=b\cdot h[/tex]Then, since the area is represented by the expression:
[tex]9x^2-48x+64[/tex]We can factorize, and get expressions for base and height:
*Apply form of the square binomial
[tex]\begin{gathered} a^2-2ab+b^2=(a-b)^2 \\ (3x)^2-2\cdot3x\cdot8+8^2=(3x-8)^2 \\ \end{gathered}[/tex]Then,
Base=3x-8
Height= 3x-8