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
Figure ABCD is made up of eight identical rectangles. Each rectangle has a length of 18 cm.
  1. Find the perimeter of Figure ABCD.
  2. Find the area of Figure ABCD
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 is made up of a square and a rectangle. It has an overall perimeter of 74 cm. The breadth of the rectangle is 34 as long as the length of the square. Given that the length of the rectangle is 16 cm, find the area of the whole figure.
4 m
Level 3
The figure is made up of 1 small square, 1 big square and 1 rectangle. It has an overall perimeter of 120 cm. The length of the rectangle is 4 times as long as its breadth. Find the area of the whole figure.
4 m
Level 3
The figure is formed from 2 rectangles and a square. The length of Rectangle R is twice that of Square S. The breadth of Rectangle R is 13 its length.
  1. Find the area of Rectangle T.
  2. Find the perimeter of the whole figure.
4 m
Level 3
The figure not drawn to scale is made up of a square and a rectangle. It has an overall perimeter of 56 cm. The length of the square is 23 as long as the length of the rectangle. Given that the breadth of the rectangle is 5 cm, find the area of the whole figure.
4 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
4 m
Level 3
Given the figure, find
  1. its perimeter.
  2. its area.
4 m
Level 3
Fadil has a rectangular piece of paper measuring 42 cm by 20 cm as shown in Figure 1. He cuts out a square from the paper and shifts it to the side of the remaining piece of paper to create a new figure as shown in Figure 2. There is no overlapping of the 2 pieces of paper. Figure 2 has a perimeter of 168 cm. What is the area of the square that was cut out?
4 m
Level 3
The figure, not drawn to scale, is made up of 3 identical small squares within a larger square of length 12 cm. The perimeter of the unshaded portion of the figure is 40 cm. What is the area of the shaded portion of the figure?
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 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm2. Find the area of the unshaded square.
4 m
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Level 3
Jane painted a grey square on rectangle ABCD as shown. The length of BC is twice of EC. The length of AD is 12 of AB. Find the area of the unpainted part of the rectangle ABCD.
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
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