A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?
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The green field
Tag: quadrilateral
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Below the tree line
A triangle is split in two. What is the area of the green quadrilateral in terms of lengths a and b?
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The bigger picture
In a small square two perpendicular lines are drawn. A larger parallel square is constructed as shown. Prove it is a scaled copy of the smaller square but rotated 90° anticlockwise.
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La Flèche Wallonne
A triangle is divided in four. What is the black area?
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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 flying banner
A triangle with a quadrilateral that covers half its area. What is the angle?
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The paper hat
A rectangle and several triangles. The orange triangle has the same area as the green trapezium. What’s the total coloured fraction?
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The parquet floor
A unit rhombus is surrounded by four congruent parallelograms. All five quadrilaterals have equal area. What are the parallelogram sides x and y?
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The triangle tango
An isosceles triangle is attached to another triangle with a 60-degree angle as shown. Their opposite vertices are connected by a line segment of length 2. What is the area of the quadrilateral?