Chapter 8.7, Problem 2P

To determine

To find: The one side length of the square patio.

Answer to Problem 2P

The one side length is $a=(4m-9)$

Explanation of Solution

Given information:

The area of the square patio is $16m^2-72m+81$

Calculation:

Factorize $16m^2-72m+81$

  $\begin{array}{l}16m^2-72m+81\\ =16m^2-36m-36m+81\\ =4m(4m-9)-9(4m-9)\\ =(4m-9)(4m-9)\\ $ ={(4m-9)}^2$\end{array}$

The area of the square patio is $a^2={(4m-9)}^2$

Hence, the one side length is $a=(4m-9)$