Answer:
61.5 cm²
Explanation:
You want the area of a regular pentagon with side length 6 cm and apothem 4.1 cm.
Area
The area formula is ...
A = 1/2Pa
where P is the perimeter and 'a' is the apothem. Using the given values, we find the area to be ...
A = 1/2(5·6 cm)·(4.1 cm) = 61.5 cm²
The area of the pentagon is about 61.5 cm².
__
Additional comment
A better approximation of the length of the apothem is 4.12915 cm. Using that value, the area rounds to 61.9 cm².
It always presents a problem when dimensions are given to 1 or 2 significant figures, and an answer is required that has more significant figures.
Apothem length and side length of a regular n-gon are rarely specified so each is consistent with the other. One or the other is sufficient to define the size of the n-gon.
<95141404393>