481 P6.AP.NK.21060419
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Length Rectangle Composite figure perimeter Quarter circle Ratio to units D Round off
482 P6.AP.NK.21060420
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Level 2 PSLE
A symmetric figure is drawn on a rectangular piece of paper 20 cm by 15 cm as shown. Its outline consists of a large semicircle, 2 smaller semicircles and 2 straight lines.
  1. What is the area of the figure?
  2. What is its perimeter? Take π = 3.14
5 m
Attempt
Rectangle Semicircle Composite figure perimeter Composite figure area
483 P6.AP.TL.17090844
Level 3
The figure shows 2 identical circles enclosed in a rectangle ABCD. Find the area of the shaded parts. (Take π = 3.14)
5 m
Rectangle Circle Quarter circle Composite figure area
484 P6.AP.TL.17090850
Level 3
The figure is made up of a circle, a rectangle and 2 semicircles. AC, the diameter of the circle, is 15 cm, AB is 12 cm and BC is 9 cm.
  1. What is the total area of the shaded parts?
  2. What is the total perimeter of the shaded parts? (Take π = 3.14)
5 m
Rectangle Circle area Semicircle Composite figure perimeter Composite figure area
485 P5.AP.JM.17083211
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Rectangle Triangle Composite figure area Ratio to units Units method
486 P6.AP.NK.22041904
Level 3 PSLE
The figure is made up of a rectangle, semicircles and quarter circles. The area of the rectangle is 216 cm2.
  1. Find the perimeter of the rectangle.
  2. Find the area of the figure. Take π = 3.14
5 m
Square Rectangle Semicircle Quarter circle Composite figure area Square & square root
487 P5.AP.JM.17083235
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
Rectangle Triangle Composite figure area Fraction of a whole
488 P5.AP.JM.17083147
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
5 m
Rectangle Tiling Units & parts
489 P6.AP.TL.17090851
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Rectangle Triangle Composite figure area Overlapping area Finding ratio R Simplest form
490 P5.AP.JM.17083149
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
  1. Find the width of each tile.
  2. Find the total area of the shaded regions.
5 m
Square Rectangle Tiling Units & parts

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