Problems

A square has been divided into $4$ rectangles and a square. If the rectangle in the bottom left corner has dimensions $1\times 4$ and the one in the top right is $2\times 5$, what is the area of the small square in the middle?

$7$ identical hexagons are arranged in a pattern on the picture below. Each hexagon has an area of $8$. What is the area of the triangle $\mathrm{△}ABC$?

Each number denotes the area of a rectangle it is written into. What is the area of the last rectangle? (That is, the yellow one)

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 $16$ and $BCED$ with area $4$. Find the area of hexagon $DEFGIH$.

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.

Charlie drew a triangle. Show a method of cutting this triangle into three parts which can then be reassembled into a rectangle - which works no matter what triangle he drew.

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