163k views
1 vote
I need help with this question I can’t seem to get the correct answer or it’s off by a few numbers

I need help with this question I can’t seem to get the correct answer or it’s off-example-1
User Gcedo
by
6.2k points

2 Answers

1 vote

Answer:perimeter is P = 27.3 cm. The number of sides is n = 7. Also, the length of the apothem is r = 4.0cm

Step-by-step explanation:

User Per Lundberg
by
6.1k points
2 votes

Given:

The number of sides is n = 7.

The length of the apothem is r = 4.0cm

The perimeter is P = 27.3 cm.

To find:

The area of the heptagon

Step-by-step explanation:

The formula of the perimeter of the heptagon is,


\begin{gathered} P=7s \\ 27.3=7s \\ s=(27.3)/(7) \\ s=3.9cm \end{gathered}

The formula of the area of the heptagon is,


\begin{gathered} A=(1)/(2)* n* r* s \\ A=(1)/(2)*7*4*3.9 \\ A=54.6cm^2 \end{gathered}

Final answer:

The area of the heptagon is 54.6 square cm.

User Antoine Pelletier
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.