Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Level 3
A, B, C and D are identical rectangles. What is the perimeter of the shaded part?
4 m
Level 3
The figure shows a square frame that is made up of 4 identical rectangles. The length of each rectangle is three times of its breadth. The perimeter of the frame is 96 cm. Find the shaded area.
4 m
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
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
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 PSLE
The figure shows a path of width 3 m in a rectangular park of length 42 m. The outline of the path is made up of quarter circles with centre A, semicircles with centre D and straight lines. AB = CD.
  1. What is the width of the rectangular park?
  2. Find the area of the path. Take π = 3.14.
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 is made up of 4 rectangles. Find the perimeter of the whole figure.
4 m
Level 3
ABCD is a rectangle. BC is 48 cm and AB is twice of BC. Find the area of Triangle CXY.
4 m
Level 3
The figure is made up of 4 rectangles. The lengths and breadths of each rectangle are in whole numbers. Find the area of the shaded rectangle.
4 m
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
4 m
Level 3
In the figure, Rectangle PQRS is made up of 8 identical rectangles. OR = 16 cm and SU = UY. Find the area of Triangle SQU.
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
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. 310 of Rectangle A and 16 of Rectangle C are shaded. The shaded area is 36 cm2. Find the total unshaded area of the figure.
4 m
Level 3
The figure shows overlapping a rectangle. Find the area of the shaded part.
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?
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