Level 3
The figure is made up of 6 identical triangles. Given that the perimeter of Square EFGH is 72 cm, Find the area of the whole figure.
4 m
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Level 3
The figure shows a big square that is made up of a small square with area 16 cm2 and 8 right-angled triangles with a base of 3 cm.
  1. Find the height of each triangle.
  2. Find the area of the big square.
4 m
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is 38 of GK and FE is 150 m, find
  1. the cost of building the picnic area.
  2. the cost of fencing the fountain.
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
Level 3
Mr Ong wanted to place pots of sunflowers at equal distance apart from each other along the perimeter of his square garden. He placed a flower pot at each corner and an equal number of flower pots along each side of the square garden. He had 79 pots of flowers to use.
  1. What was the maximum number of flower pots Mr Ong could use to place along the perimeter of the square garden?
  2. How many flower pots would there be along each side of the square garden including the flower pots at the 2 corners?
4 m
Level 3
The figure is made up of four small squares. Linda had painted part of one square white and the rest of the figure grey. The perimeter of the white part is 38 cm and the perimeter of the grey part is 72 cm. Find the area of one small square.
4 m
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
  1. Find the width of each tile.
  2. Find the total area of the shaded regions.
5 m