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The base of a lampshade is a regular hexagon with a side length of 8 inches. Estimate the amount of glass needed to make the lampshade

 Mar 28, 2019
 #1
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Hexagon Area = 3*sqrt3 /2     * a^2      where a = base length (8 inches)

 Mar 28, 2019
 #2
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Hint: If it's easier for you, split the hexagon into six equilateral triangles, and calculate the area of each one using \(\frac{\sqrt{3}}{4}s^2\) . Then, multiply that by six.

 

To generalize. the area of a hexagon is \(\frac{3\sqrt{3}}{2}s^2\) .

 Mar 28, 2019

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