Problems

Age
Difficulty
Found: 32

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?

image

\(7\) identical hexagons are arranged in a pattern on the picture below. If each hexagon has an area of \(8\), what is the area of the triangle \(\triangle ABC\)?

image

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)

image

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

image

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 \(DEFGIH\).

image

If each of the small squares has an area of \(1\), what is the area of the triangle?

image

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

image

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?

image