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The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.

User SAHIL BHANGE
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1 Answer

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10 votes

Answer:

12 inches

Explanation:

A regular polygon is any 2-D shape where all the sides and angles are congruent.

Regular Hexagon

As denoted by the prefix "hexa-", hexagons have 6 sides and internal angles. The perimeter is equal to all 6 sides added together. However, we know that these sides must be congruent because it is a regular hexagon.

Solving for Perimeter

We can create an equation that describes the perimeter of this shape, with "x" representing the length of one side.

  • 6x = 72

Since all the sides are equal we can use multiplication instead of addition. To solve this equation, divide both sides by 6.

  • x = 12

This means that all sides must be 12 inches.

User Anthony Tsivarev
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