a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. what is x, the length of a side of the hexagon or square?

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16-12-2022
Mathematics

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a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. what is x, the length of a side of the hexagon or square?

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qwterabite qwterabite · Answer 1 · 2022-12-21T01:53:16-05:00

x is 8 units,the length of a side of the hexagon or square, where the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon .

In order to solve this problem, where we are given that a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon, So we use the formula for the perimeter of a square which is: P = 4x, and the formula for the perimeter of a regular hexagon is P = 6x.Now we set these two equations equal to one another and solve for x, where we get, 4x + 32 = 6x, so x = 8. Therefore, the length of each side of the square and hexagon is 8 units.

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