The Solution:
The given figure is
The perimeter of the largest figure is calculated below:
[tex]\text{ Perimeter =7+y+5+x+y+7+x+5}[/tex]
Collecting the like terms, we get
[tex]\text{ Perimeter =7+7+5+5}+2x+2y=24+2x+2y=2(x+y+12)\text{ units}[/tex]
The area of the largest figure is calculated below:
[tex]\begin{gathered} \text{ Area =L}\times W \\ \text{ Where} \\ L=5+x \\ W=7+y \\ \text{Substituting the values, we get} \\ \text{Area =(5+x)(7+y)=5(7+y)+x(7+y)} \\ =(35+5y+7x+xy)units^2 \end{gathered}[/tex]
