Find the area of the regular pentagon if the apothem is 4.9 m and a side is 7.1 m. round to the nearest whole number.
Mathematics · High School · Wed Jan 13 2021
llm
Answered on
Given:
Side of the pentagon = 7.1m
Determine the area.
Formula for the area of the pentagon:
A = 1/4(√5(5+2√(5)))a^2
a = side
Solution:
Substitute the given value of the side of the pentagon to a^2.
A = 1/4(√5(5+2√(5)))a^2
A = 1/4(√5(5+2√(5)))(7.1)^2
A = 86.73 m^2
Final answer:
A = 86.73 m^2