Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 m
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
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. What is the floor space we can cover with 50 such tiles?
3 m
Level 3
Study the figure.
  1. Find the perimeter of the small rectangle.
  2. Find the perimeter of the figure.
4 m
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. If we want to lay them side by side as shown to occupy a length of 324 cm, how many tiles do we need?
3 m
Level 3
The figure is made up of 4 identical rectangles and a square. Find the perimeter of the figure.
4 m
Level 3
The figure is made up of 3 identical rectangles. CD = 72 cm. Find the length of AD.
3 m
Level 3
The figure is made up of five similar rectangles, measuring 8 cm by 4 cm.
  1. Find the area of the figure.
  2. Find the perimeter of the figure.
4 m
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
Level 3
Five identical square tiles were pasted onto a rectangular wall shown .
  1. What is the area of the rectangular wall?
  2. What is the perimeter of the shaded part?
4 m
Level 3
The figure is made up of 6 identical rectangles with no overlapping parts. Each rectangle has a perimeter of 12 cm. Find the perimeter of the figure.
3 m
Level 3
The figure is made up of 3 identical rectangles and a square.
  1. Find the area of the square.
  2. Find the perimeter of the figure.
4 m
Level 3
The figure shows 4 identical rectangles (not drawn to scale). The length of each rectangle is twice its breadth. Given that the breadth of each rectangle is 4 cm, find the perimeter of the figure.
3 m
Level 3
A feature wall is covered by 10 identical small rectangular boards as shown. The height of the wall is 200 cm. What is the area of the feature wall?
3 m
Level 3
Some poles are placed along the perimeter of a rectangular court measuring 15 m by 12 m. The poles are placed equally apart. If the distance between each pole is 3 m, find the total number of poles used.
3 m
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
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
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
Level 3
A rectangular piece of coloured paper was folded as shown. Find the area of the coloured paper when it was unfolded.
3 m
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
3 m