A) Since we know the formula for the area of a rectangle, then we can do the following to find the length of this rectangular area: plug into the area formula the given data and solve for l:
[tex]\begin{gathered} A=l\times w \\ l\times w=A \\ \\ 88l=8712m^2 \\ \\ \frac{88l}{88}=\frac{8712}{88} \\ \\ l=99\:m \end{gathered}[/tex]B) On the other hand, we can also derive a formula for the Perimeter:
[tex]\begin{gathered} P=2(l+w) \\ \\ 2(l+w)=296 \\ \\ 2(83+w)=296 \\ \\ 166+2w=296 \\ \\ 2w=296-166 \\ \\ 2w=130 \\ \\ \frac{2w}{2}=\frac{130}{2} \\ \\ w=65\:cm \end{gathered}[/tex]Thus, these are the answers.
