Three unit squares form the skeleton of a hexagon. What’s the area of the yellow rectangle?
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The Lion King
Tag: area
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Velocipede III
Two tangent circles and two line segments of given length crossing at right angles at the tangency point. One of the line segments is parallel to a common tangent. What’s the total area?
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Two of a kind
The red and blue triangles are similar. The white areas are given. What is the total area?
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The throne
A rectangle with a horizontal line and a diagonal. The red and golden regions have the same area. What fraction is coloured?
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The bobline
A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?
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The end of the tunnel
Two semicircles and two congruent triangles with a side of length 2. What’s the brown area?
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The fly on the wall
Two similar but not necessarily congruent 3:4:5 triangles are placed such that their smallest angles overlap. The line segment connecting the common vertex to the small side intersection point has length 4. What is the total area?
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The horse’s head
Two congruent right triangles share a vertex. If the overlap represents 1/7 of the total area, what’s the angle?
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The attic room
A blue square is topped with a right triangle. Using line segments to the top, a green quadrilateral is constructed with at least two right angles. What is the area proportion green : blue?
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The rocking cradle
A semicircle and an interior circle are tangent to each other. The chord towards the tangency point is divided in segments of length 1 and 2. What is the pink area?