Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 100 · 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.The perimeter of a rectangle is 86 cm and its length is 27 cm. What is its width (in cm)?
2. 2.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
4. 4.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
8. 8.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 20 cm long and 8 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
12. 12.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
14. 14.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
15. 15.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 18 cm long and 8 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a square is 14 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
27. 27.Each side of a square is 5 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
29. 29.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 9 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 100 cm and its length is 28 cm. What is its width (in cm)?
33. 33.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a square is 21 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 24 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
39. 39.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

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