Explanation:

Let OAB be the given sector
let arc AB= l
perimeter of setor OAB=27.2m
OA+OB+ar AB=27.2cm
5.7+5.7 +l=27.2
l=27.2-(5.7+5.7)
=27.2-11.4
=15.8cm
Area of setor =1/2 lr
=1/2(15.8)x5.7
=90.06/2
=45.03cm²
∴Area of sector=45.03cm²

Hence, option 4 is the correct answer.