Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 3 · 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 58 cm and its length is 15 cm. What is its width (in cm)?
2. 2.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
5. 5.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
6. 6.From a rectangle 8 cm long and 11 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.The perimeter of a rectangle is 88 cm and its length is 27 cm. What is its width (in cm)?
8. 8.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
13. 13.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.From a rectangle 11 cm long and 7 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
17. 17.A square has a perimeter of 40 cm. What is its area (in square cm)?
18. 18.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 9 cm long and 10 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a square is 24 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 12 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
25. 25.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 8 cm long and 7 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)?
28. 28.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a square is 5 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 68 cm. What is its area (in square cm)?
31. 31.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
36. 36.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
37. 37.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 16 cm. What is its area (in square cm)?
40. 40.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

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