Categories
Beginner

The forward lean

A square with a diagonal and an isosceles triangle. What fraction is brown?

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Intermediate

The purple square

A regular octagon of side length 2 with two diagonals and a square. What is the purple area?

Categories
Advanced

Ruyles squares

There are four possible squares with a vertex at distance a from the centre and two vertices on the circle of radius r. Find their areas in terms of a and r.

Categories
Beginner

The skewed tree

A triangle with a line segment through its centroid and parallel to a side. What faction is dark green?

Categories
Intermediate

A deep connection

Two squares inside a circle. What is the circle area in terms of length a?

Categories
Intermediate

To shy away

Two squares share a vertex. What’s the proportion orange : blue?

Categories
Beginner

Squaring a rectangle

A regular hexagon, a square and a rectangle. What is the area proportion rectangle : square?

Categories
Intermediate

Star and stripes

Two concentric congruent squares and two red rectangles. What fraction of the total area is red?

Categories
Intermediate

Letting go

Two squares share a vertex. Three other vertices are collinear. What is the area proportion of the blue to the red square?

Categories
Beginner

Orange above

A square contains a right triangle. What fraction is orange?