SOLUTION: Consider a square and a regular hexagon one side of the square is 3 feet longer than a side of the hexagon and the two figures have the same perimeter . What are the lengths of th

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Consider a square and a regular hexagon one side of the square is 3 feet longer than a side of the hexagon and the two figures have the same perimeter . What are the lengths of th      Log On


   



Question 1100955: Consider a square and a regular hexagon one side of the square is 3 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 greenestamps(13200) About Me  (Show Source):
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The square has 4 sides, each of which is 3 feet longer than each of the 6 sides of the regular hexagon; and the perimeters of the two figures are equal.

So if x is the length of a side of the hexagon,
4%28x%2B3%29+=+6%28x%29
4x%2B12+=+6x
12+=+2x
x+=+6

The side of the hexagon is x=6; so the side of the square is x+3 = 9.