Consider a square and a regular hexagon (a 6-sided figure with sides of equal length). One side of the square is 4 feet longer than a side of hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure? (Round off the answers to the nearest hundredth).

Question

Consider a square and a regular hexagon (a 6-sided figure with sides of equal length).  One side of the square is 4 feet longer than a side of hexagon, and the two figures have the same perimeter.  What are the lengths of the sides of each figure?  (Round off the answers to the nearest hundredth).

anonymous · Answer

side of hexagone=x
side of sq=x+4
4(x+4)=6x
2x=16
x=8

anonymous · Answer

Lets say the length of the side of the square is 'x', then its perimeter is 4x. That would make the length of the side of the hexagon x-4, and its perimeter would be 6(x - 4) = 6x - 24.  The 2 perimeters are equal so we have:
6x - 24 = 4x
2x = 24
x = 12
That is the length of the side of the square. For the Hexagon, subtract 4, and you get 8

anonymous · Answer

so the square is 12 and the hexagon is 8?

anonymous · Answer

right