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# geometry question

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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?

Jan 1, 2021

#1
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Visible black area = 2 cm2

Jan 2, 2021
#2
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Remeber to give a full explation because the guest Might not understand, but Im not sure how to answer this so I cant tell if this answer is correct or not.

wolfiechan  Jan 2, 2021
#5
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The total area of a square divided by 3

jugoslav  Jan 2, 2021
#3
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It would just be that 2(black area) + white area = 6 cm^2, so 3 * white area = 6 cm^2 so white = black = 2 cm^2

Jan 2, 2021
#4
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Or for all the complicated equation enthusiasts. Solve this equation to get the answer: $(\sqrt{6} + \sqrt{6}-x)* x = \frac{(\sqrt{6}-x)^2}{2}$ for $(\sqrt{6} + \sqrt{6}-x)* x$

Jan 2, 2021