Question

25 POINTS!!

Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 8 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 1

6

Explanation:

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Answer 2

The hexagon has sides of 8 feet and the square 's sides are 16 feet long..

Explanation:

If the side of the hexagon is x feet then the side of the square = x+8 feet.

So as the perimeters are equal:

8x = 4(x + 8)

8x = 4x + 32

8x - 4x = 32

4x = 32

x = 8 = side of hexagon so the square side = 16 feet.