Answer:
[tex]66.92\:\mathrm{m}[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex] where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:
[tex]15\cdot w=276.9,\\w=\frac{276.9}{15},\\w=18.46\:\mathrm{m}[/tex].
The perimeter of a rectangle is given by [tex]p=2w+2l[/tex]. Therefore, the perimeter of the rectangle is:
[tex]2(15)+2(18.46)=\fbox{$66.92\:\mathrm{m}$}[/tex].
