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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- May 1st 2007, 01:56 PMSpartan 68868Hexagonal Diagonals
In a regular hexagon the diagonals are increased by 30%. BY what percentage will the area of the hexagon increase as a result?

- May 1st 2007, 02:14 PMCaptainBlack
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