Categories
Advanced

The orange belt

Three squares and three shared vertices. Prove that the orange quadrilateral is in fact a parallelogram.

Categories
Beginner

The skyscraper

A blue parallelogram with an extended diagonal. What is the proportion green : orange?

Categories
Beginner

The first cut

Using one straight cut, divide this triangle in two pieces. Paste them together to form a parallelogram with perimeter 19.

Categories
Intermediate

The balance sheet

A unit square and a parallelogram. What’s the area of the latter?

Categories
Beginner

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?

Categories
Intermediate

Velocipede II

Two circles of area π and 9π respectively are contained in a parallelogram. What’s its area?