jaimepeters09 jaimepeters09

01-03-2016
Mathematics

Answered

A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is the patio’s area?

Verified Answer :

meerkat18 meerkat18

12-03-2016

Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 a² (1 + √2)
a = side length

A = 2 (24ft)² (1 + √2)
A = 2 576ft² (1 + 1.414)
A = 2 576ft² 2.414
A = 2,780.93 ft²

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