How to find the length of a side in other polygons - ISEE Upper Level Mathematics Achievement

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Question

The perimeter of a regular octagon is one mile. Give the sidelength in feet.

Answer

One mile is equal to 5,280 feet, so divide this by 8:

feet

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Question

What is the sidelength, in feet and inches, of a regular octagon with perimeter feet?

Answer

feet is equivalent to inches. Each side of a regular octagon, an eight-sided figure, measures one-eighth of this:

Each side of an octagon with perimeter feet measures

inches.

Since

,

this is equal to .

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Question

In a septagon, each of the sides are equal to one another. If the perimeter is feet, what is the length of one of the sides?

Answer

If the perimeter of a septagon, in which each side is equal to the other, is 98, the length of each side will be 7 feet because 98 divided by 7 is 14.

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