1 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
2 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
3 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
4 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
5 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
6 P4.AP.NK.23050843
Level 3
The area of a rectangular sheet of paper ABCD is 108 cm2. It is then folded at a corner as shown below in Figure 2. Given that AD = 9 cm and AE = 4 cm.
  1. Find the length of CD.
  2. Find the perimeter of the unshaded part AEBCD.
3 m
Rectangle Triangle Overlapping area Folded figure
7 P4.AP.JM.17100268
Level 3
A rectangular strip of ribbon is folded as shown. What is the area of the strip of ribbon before it is folded?
3 m
Square Rectangle Overlapping area Folded figure
8 P4.AP.NK.23050838
Level 3
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.
4 m
Length Square Overlapping area Times as many
9 P4.AP.NK.23050842
Level 3
Figure A is a rectangular piece of paper measuring 36 cm by 20 cm. James folded the paper along the dotted line to form Figure B. What is the area of the shaded part of the paper?
4 m
Rectangle Triangle Overlapping area Folded figure
10 P4.FR.JM.17101716
Level 3
2 rectangles A and B, not drawn to scale, overlap at x as shown. x is 18 of rectangle A and 16 of rectangle B. If the length of rectangle B is 9 cm and its breadth is 4 cm, what is the area of the unshaded part of figures A and B?
4 m
Fraction to units Overlapping area Unchanged difference Units method

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