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?

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asked Feb 9, 2017 137k views

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Bade · Answer 1 · 2017-02-13T11:41:00+0000

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

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?

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