A quarter circle of radius 1, a rectangle touching the circle in an arbitrary point and a yellow quadrilateral. What is the minimal perimeter of this quadrilateral?

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geometry puzzles

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- Post author By Rik D. Tangerman
- Post date June 7, 2023
- No Comments on Shine your light

- Tags circle, minimum, perimeter, quadrilateral, rectangle

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- Post author By Rik D. Tangerman
- Post date January 3, 2023
- No Comments on 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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- Post author By Rik D. Tangerman
- Post date November 2, 2022
- No Comments on Ceteris paribus

Three circles with their centres and a triangle ABC. Given that D is the midpoint of BC, prove that quadrilateral ABEF and triangle ECF have both equal perimeter and equal area.

- Tags area, circle, perimeter, quadrilateral, triangle

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- Post author By Rik D. Tangerman
- Post date August 17, 2022
- No Comments on Slightly skewed

Two overlapping equilateral triangles with side lengths 1. What is the total red length?

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- Post author By Rik D. Tangerman
- Post date June 14, 2021
- No Comments on The green field

A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?

- Tags area, fraction, perimeter, quadrilateral, square

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- Post author By Rik D. Tangerman
- Post date December 14, 2020
- No Comments on The Post-it note

Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?