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## The sneak peek

A rectangle with given side lengths is folded back and forth such that the corner touches the opposite side as shown. What is the minimal shaded fraction?

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## House of Orange

A right triangle with a red and yellow square attached. Two circular arcs centered in the triangle vertices. What is the area of the orange rectangle in terms of red and yellow?

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## Take five origami

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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## 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 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?

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## The Suresh similarity

Two squares and a rectangle. Prove that the red triangles are similar.

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## A new slant

Two squares and a slanted rectangle share three vertices. What is the total area?

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## Three squares a day

Three congruent squares inscribed in a rectangle. What fraction of the total area is green?

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