Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 42 · 40 sums

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

1. 1.Each side of a square is 17 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 7 cm long and 10 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.From a rectangle 11 cm long and 11 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 18 cm long and 15 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
9. 9.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
11. 11.From a rectangle 9 cm long and 11 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
14. 14.A square has a perimeter of 12 cm. What is its area (in square cm)?
15. 15.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 44 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
18. 18.Each side of a square is 21 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
21. 21.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 14 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 16 cm long and 12 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
25. 25.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
28. 28.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 52 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 76 cm and its length is 22 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
33. 33.From a rectangle 17 cm long and 13 cm wide, a rectangle 12 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
35. 35.Each side of a square is 8 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
38. 38.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
40. 40.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?

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