A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?

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geometry puzzles to train your brain

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A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?

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An equilateral triangle is folded with its left side at right angles with the base. What fraction of the total triangle is shaded?

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A rectangular sheet of paper is folded in such a way that two equal angles are formed as shown. What fraction of the resulting quadrilateral is shaded?