Divide a rectangular piece of paper in five pieces of equal area. You only have a pair of scissors at your disposal, but you are allowed to make straight folds to guide you.
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Take five origami
Tag: area
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The voting pencil
A square and a rectangle share a vertex. Two triangle areas are given. What is the total area?
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The red triangle
A square containing an isosceles triangle with given side lengths. What fraction is red?
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Confined enclosure
A square containing four smaller squares. What fraction of its area is orange?
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Check and balance
A square divided by three line segments. The red and blue areas are equal. What’s the length proportion a : b?
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Squaring the circle
Two perpendicular squares inside a circle. The circle centre is located on the side of one square. The line segment connecting two vertices has length a. What is the circle area?
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The inner diamond
A triangle with side lengths a and b and an inscribed rhombus. What is the blue fraction in terms of a and b?
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The Common Brimstone
A square divided by three line segments. What’s the proportion green : yellow?
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Silent circle
A large triangle with one side tangent to a circle. The tangency point is the vertex of a blue parallelogram. What is the red area?
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The yardstick
A rectangle containing a circle and a line segment connecting the top side to the bottom tangency point. What is its area in terms of lengths a and b?