Level 3
Two identical triangles, ABC and XYZ, overlap each other as shown. Given that AB = XY = 15 cm and BC = YZ = 14 cm, what is the area of the figure that is not shaded?
3 m
Level 3
The figure shows two identical right-angled triangles overlapping each other. Find the area of the shaded part.
3 m
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m
Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm2, find the remaining area of the 5-sided figure.
4 m
Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the 15 mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)
4 m