Answer:
![91\operatorname{cm}^2]()
Step-by-step explanation:
Step 1. The information that we have about the regular heptagon is:
The apothem, which we will call ''a'':
The perimeter, which we will call ''P'':
Step 2. The formula to find the area of any regular polygon (in this case a heptagon) is:
Where A is the area, P is the perimeter and a is the apothem.
Step 3. Substitute the values of P and a into the formula:
Solving the operations we find the area:
![\begin{gathered} A=(182cm^2)/(2) \\ \\ A=\boxed{91\operatorname{cm}^2} \end{gathered}]()
Answer:
![91\operatorname{cm}^2]()