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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?

 

 Jun 4, 2021

Best Answer 

 #1
avatar+179 
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Let the visible black area have area x \(cm^2\).  Thus, the white area that shows after folding is also x.  With the area that is now missing within the square being identical to the black area, and area of it is yet again x.  Together, they form the original square, meaning that 3x=6, x=2

 

The black area has area 2 \(cm^2\).  I hope this answered your question, have a great day!

 Jun 4, 2021
 #1
avatar+179 
+2
Best Answer

Let the visible black area have area x \(cm^2\).  Thus, the white area that shows after folding is also x.  With the area that is now missing within the square being identical to the black area, and area of it is yet again x.  Together, they form the original square, meaning that 3x=6, x=2

 

The black area has area 2 \(cm^2\).  I hope this answered your question, have a great day!

EnchantedLava68 Jun 4, 2021

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