Question 263346
Consider a square and a regular hexagon (a six sided figure with sides of equal length). 
One side of the square is 7 feet longer than a side of the hexagon, and the two figures have the same perimeter. 
What are the lengths of the sides of each figure? 
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Let a side of the square be "x".
Perimeter of the square = 4x
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A side of the hexagon is x-7
Perimeter of the hexagon is 6(x-7) = 6x-42
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Equation:
Sq. P = Hex P
4x = 6x-42
2x = 42
x = 21
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P of the Sq = 4x = 84
P of the Hex = 6*14 = 84
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Cheers,
Stan H.