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A regular octagon with sides of length 11 and an apothem of length 8.85 has an area of _____ square units.

User OmerGertel
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Answer: 389.4

Step-by-step explanation: I tested it and it was correct :)

User Yottagray
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Given the apothem (a) and the side of the regular polygon, the area (A) of the polygon may be calculated by the formula,

A = aP/2

where P is the perimeter.

Given that the octagon has a length of 11, its perimeter is 88. Substituting this to the formula above,

A = (8.85)(88) / 2 = 389.4

Thus, the area of the polygon is 389.4 unit².


User Kenneth Poulsen
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