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## The common ground

Two squares share a vertex. Two other vertices are 4 units apart. A third green square has the centres as opposite vertices. What is its area?

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## The double bottom

A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?

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## Eleven

A square contains a yellow right triangle with an area of 11. What is the square’s area?

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## Çetins circle

A square, a semicircle and six line segments. What’s the angle α?

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## The erratic spider

A square with several line segments. Prove that the blue ones are parallel.

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## Black and blue

A square with an extended side inside another square. What fraction of the latter is blue?

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## Almost sunk

A square contains a right triangle. What fraction is red?

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## A light packing

A triangle containing two congruent squares. Each square has 1/3 the perimeter and 1/6 the area of the triangle. What’s the triangle side length proportion a : b : c?

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