SOLUTION: Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 12 feet longer than a side of the hexagon, and the two figures h

Question 1030271: Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 12 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?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make the side of the hexagon = x
Side of square = x + 12
Both figures have the same perimeters.
4(x + 12) = 6(x)
4x + 48 = 6x
Collect like terms:
6x - 4x = 48
2x = 48
x = 24
Length of hexagon side = 24 feet
Length of square side = 36 feet
Hope this helps :-)
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