Answer:
[tex]\large\boxed{P=60.56\ m}[/tex]
Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l - length
w - width
We have
[tex]A=229.2\ m^2\\\l=15\ m[/tex]
Substitute:
[tex]15w=229.2[/tex] divide both sides by 15
[tex]w=15.28\ m[/tex]
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
Substitute:
[tex]P=2(15+15.28)=2(30.28)=60.56\ m[/tex]