161 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
162 P4.AP.JM.17100264
Level 3
ABCD is a square of side 14 cm. The circle inside has an area of 154 cm2. What is the area of the shaded part?
3 m
Square Circle Boomerang Composite figure area
163 P3.AP.JM.17102370
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
  1. What was the area of the paper before it was cut?
  2. What was the area of the paper after the four corners were cut?
4 m
Square Rectangle Composite figure area
164 P3.AP.JM.17102352
Level 3
Thomas formed Figure A by using 6 identical rectangles.
  1. Find the area of Figure A.
  2. Thomas then added 3 identical squares to form Figure B as shown. Find the area of Figure B.
4 m
Square Rectangle Rectilinear figure Composite figure area
165 P4.AP.JM.17100224
Level 3
The figure is made up of three identical squares of side 8 cm.
  1. Find the area of the figure.
  2. Find the perimeter of the figure.
3 m
Square Tiling Rectilinear figure Composite figure perimeter Composite figure area

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