Categories
Intermediate

Unity

A square, a rectangle and two semicircles, one of which is centered in the shared vertex. What is yellow : blue?

Categories
Beginner

Brick oven II

A rectangle inside a square. What fraction is yellow in terms of x?

Categories
Advanced

Ball pit II

The left wall of a rectangular pit can slide frictionlessly along the floor. An inward force of F is needed to maintain the position of the 6 congruent circles, but a larger force G is needed to push the walls inward, lifting the circles. What is G/F?

Categories
Advanced

In and out II

A couloured triangle and rectangle with extended sides and two circles. Prove that the triangle and the rectangle have equal areas.

Categories
Intermediate

Side touches

Four triangles in a rectangle. The three red triangles have equal areas. What is blue : red?

Categories
Beginner

Equal partition

A rectangle and a square with an extended side. Prove that their areas are equal.

Categories
Beginner

Roll the dice

Two squares inscribed in a rectangle. What fraction is purple?

Categories
Beginner

Ticker tape

Three overlapping congruent rectangles of area X. What is purple-yellow+2*green?

Categories
Beginner

The pyramid chambres

Two rectangles inside an equilateral triangle. What fraction is red?

Categories
Intermediate

Rectangular justice

Purple and blue rectangles with line KL connecting their centers. What is the area ratio Green:Orange?