Problems

Is it possible to cover a $4n\times 4n$ board with the $L$-tetraminos without overlapping for any $n$? The pieces can be flipped and turned.

Each number denotes the area of a rectangle it is written into. What is the area of the last rectangle?

Divide the trapezium into two parts such that they can be reassembled to make a triangle

Which of the triangles has the smallest area?

In a square $ABHI$ two smaller squares are drawn: $ACFG$ with area equal to $16$ and $BCED$ with area equal to $4$. Find the area of hexagon $DEFGIH$.

If each of the small squares has an area of $1$, what is the area of the triangle?

Divide the parallelogram into two parts such that they can be reassembled to make a triangle.

Cut a triangle into three parts, which can be reassembled into a rectangle.

On the diagram each number denotes the area of a rectangle it is written into. What are the areas of the other rectangles?

Draw any quadrilateral with all sides of different length and divide it into $5$ polygons of equal area.