Two concentric circles and three tangent line segments. If the perimeter of triangle ABC is p, what is the red area?
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No vehicles
Tag: perimeter
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Post-it II
Two squares are placed partly overlapping, forming eight non-overlap triangles. Two triangles have a pink and two have a yellow perimeter. What is pink : yellow?
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The cheese slicer
A quarter circle of radius 1 with a yellow quadrilateral that has one side tangent to it. What is the perimeter of the quadrilateral?
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Fan of cards
N coloured rectangular cards are arranged with a common vertex and common angle α between cards. If a single card has perimeter P, what is the perimeter of the coloured region, in terms of N, P, and α?
Extra condition: N and α are such that at least two edges of the bottom card are visible.
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Shine your light
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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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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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.
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Slightly skewed
Two overlapping equilateral triangles with side lengths 1. What is the total red length?
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The green field
A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?
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The Post-it note
Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?