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Math Help - Hexagonal Diagonals

  1. #1
    Newbie Spartan 68868's Avatar
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    Hexagonal Diagonals

    In a regular hexagon the diagonals are increased by 30%. BY what percentage will the area of the hexagon increase as a result?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Spartan 68868 View Post
    In a regular hexagon the diagonals are increased by 30%. BY what percentage will the area of the hexagon increase as a result?
    If you have similar figures with any linear dimesion scalled by a factor r
    between them then the area is scalled by a factor r^2.

    So the diagonals of the enlarged hexagon are 1.3 times those of the original
    so the area is 1.3^2= 1.69 times bigger, so the area is 68% larger.

    RonL
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