SOLUTION: Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 2 feet longer than a side of the hexagon, and the two figures hav

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 2 feet longer than a side of the hexagon, and the two figures hav      Log On


   



Question 915722: Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 2 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 josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, side length of square
y, side length of the hexagon
x=2+y described as given (one side of square is 2 feet longer than a side of the hexagon)

4x=6y, perimeters are equal, described as given.
4%282%2By%29=6y
4y%2B8=6y
8=2y
highlight%28y=4%29-----length of one side of the hexagon

highlight%28x=6%29-----side length of the square