41 P5.AP.JM.17083246
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
3 m
Square Rectangle Rectilinear figure Composite figure area Overlapping area Ratio to units Units method
42 P5.AP.JM.17083247
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
Triangle Overlapping area
43 P5.AP.JM.17083200
Level 3
The figure shows two identical right-angled triangles overlapping each other. Find the area of the shaded part.
3 m
Right-angled triangle Overlapping area
44 P5.AP.JM.17083245
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
Square Composite figure area Overlapping area Fraction of a whole
45 P4.AP.JM.17100269
Level 3
Two rectangles of length 14 cm and breadth 10 cm, are placed one on top of the other to form a shape as shown. What is the area of the shape?
3 m
Rectangle Overlapping area
46 P4.AP.JM.17100266
Level 3
X and Y are identical squares. X overlaps Y partially as shown. What is the area of the shaded part?
3 m
Square Overlapping area
47 P4.AP.JM.17100267
Level 3
The figure is made up of 2 identical rectangles partially overlapping each other. Find the perimeter of the figure.
3 m
Rectangle Overlapping area
48 P4.AP.JM.17100265
Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
3 m
Square Overlapping area Fraction of a whole
49 P5.PC.JC.17083304
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
Area perimeter Overlapping area Percent to units Times as many Unchanged difference Units table
50 P4.AP.NK.23050845
Level 3
Two rectangular mats, each 4 m by 6 m are placed on the floor as shown. The mats overlap and the area of the floor covered by the overlap is 8.4 m2. Find the length of AB.
3 m
Length Rectangle Rectilinear figure Overlapping area

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