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A square sheet of paper has area 6 cm^2. The front is white and the back is black. When the sheet is folded so that point A rests on the diagonal as shown, the visible black area is equal to the visible white area.  What is the visible black area, in cm^2?

 

 Dec 20, 2021
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6 - 2 (1/2 x * x) = 1/2 x * x

 

x = 2    (the side of the black triangle )      area of the triangle = 1/2*  2 * 2 = 2 cm^2

 Dec 20, 2021

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