SOLUTION: Consider a square and a regular hexagon (a six sided figure with sides of equal length) One side of the square is 1 foot longer than a side of the hexagon, and the two figures have

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Consider a square and a regular hexagon (a six sided figure with sides of equal length) One side of the square is 1 foot longer than a side of the hexagon, and the two figures have      Log On


   

Question 1150823: Consider a square and a regular hexagon (a six sided figure with sides of equal length) One side of the square is 1 foot 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?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
regular hexagon (a six sided figure with sides of equal length)
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No kidding?
Is that what it is?
Thx for the info.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

If x is the side length of the regular hexagon, then you have this equation


    4*(x+1) = 6x.


Solve it and get the 


ANSWER.   The side length of the regular hexagon is 2 feet.  The side length of the square is 3 feet.