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If the area of an octagon (8 sides) sign is 242 in squared and the apothem is 12. 1 in, what is the length of the sides

User Zhigang
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1 Answer

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Answer:

To find the length of the sides of the octagon, we can use the formula:

Area = (1/2) × Apothem × Perimeter

Given the following values:

Area = 242 in²

Apothem = 12.1 in

Let's rearrange the formula to solve for the perimeter:

Perimeter = (2 × Area) / (Apothem)

Plugging in the values:

Perimeter = (2 × 242 in²) / (12.1 in)

Perimeter = 484 in² / 12.1 in

Perimeter = 40 in

The perimeter of the octagon is 40 inches. Since an octagon has 8 sides, each side would have a length of:

Length of each side = Perimeter / Number of Sides

Length of each side = 40 in / 8

Length of each side = 5 in

Therefore, the length of each side of the octagon is 5 inches.

Step-by-step explanation:

User Imran Rafique
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