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Given a four by four grid of points, where the distance between two closest points in the grid is 10.  Four lines are drawn as shown, enlcosing a square.  Find the area of the square.

 

 Dec 17, 2020
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Angle   β = tan-1(1/3) = 18.435º

 

Area = [10 * cos(β)]2 = 90 squared units

 Dec 17, 2020

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