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The area of the gray rectangle is 40 m^2. Find the area of the regular hexagon in square meters.

 

 Jan 16, 2021
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The length of that type of diagonal is sqrt3 times the side length. So the rectangle would be \(x\sqrt{3}\) times \(x\) or \(x^2\sqrt{3}\)

The area of a hexagon is \((3\sqrt{3})*x^2/2\). What we have is \(x^2\sqrt{3}\). So multiply that by 3/2 to get 40*3/2=60

 Jan 16, 2021

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