Chapter 13, Problem 8STP

To determine

To calculate: The factors which could represent length and breadth of given rectangle?

Answer to Problem 8STP

  $G)(5a^2+4b)(5a^2-4b)$

Explanation of Solution

Given Information: the given information is area of rectangle is $25a^4-16b^2.$

Formula used:

  $\begin{array}{l}Areaofrec\tan gle=length\times breadth.\\ a^2-b^2=(a+b)(a-b).\end{array}$

  $\begin{array}{l}25a^4-16b^2={\left(5a^2\right)}^2-{\left(4b\right)}^2\\ =(5a^2+4b)(5a^2-4b).\end{array}$