Level 3
4 identical rectangles are arranged as shown. XY is 13 cm and the unshaded area Square ABCD is 81 cm2. Find the breadth of the rectangle.
4 m
Level 3
The figure is formed by 4 identical shaded rectangles and an unshaded square. The area of the unshaded square is 49 cm2. Find the total area of the 4 shaded rectangles.
4 m
Level 3
The figure, not drawn to scale, is made up of a square and three rectangles. The square has an area of 81 cm2. What is the area of Rectangle X?
4 m
Level 3
The figure, not drawn to scale, is made up of 2 squares and 2 rectangles. What is the area of Rectangle A?
4 m
Level 3
The figure, not drawn to scale, shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 144 cm2.
  1. Find the length of one side of Square X.
  2. Find the perimeter of the shaded region.
4 m
Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m
Level 3
The figure is a square that is made up of 3 identical rectangles. The square has an area of 36 cm2. Find the perimeter of the shaded rectangle.
4 m
Level 3
Mr Lim had a square garden as shown in the diagram. He built a path of width 1 m around it. Given that the area of the path was 9 m2, find the area of the garden.
4 m
Level 3
The figure is made up of 2 squares of different sizes. Given that the shaded area is 48 cm2, find the area of the big square.
4 m
Level 3
A feature wall is covered by 10 identical small rectangular boards as shown. The area of 1 small rectangular board is 12 m2. Where is the perimeter of the feature wall?
4 m
Level 3
The figure shows Square X and Square Y inside Square ABCD. The area of Square Y is 49 cm2 and the area of Square ABCD is 81 cm2.
  1. Find the length of AE
  2. Find the area of the shaded region.
4 m
Level 3
The figure is made up of identical rectangles. The length of the rectangle is twice of its breadth. The area of the figure is 256 cm2. What is the perimeter of the figure?
4 m