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Example Question #21 : Plane Geometry
If the area of a regular octagon is 160 and the apothem is 8, what is the side length?
Possible Answers:
Correct answer:
Explanation:
To find the side length from the area of an octagon and the apothem we must use the area of a polygon which is
First plug in our numbers for area and the apothem to get
Then multiply to get
Then divide both sides by 4 to get the perimeter of the figure.
When we have the perimeter of a regular polygon, to find the side length we must divide by the number of sides of the polygon, in this case 8.
After dividing we find the side length is
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