Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 517 · 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 66 cm and its length is 30 cm. What is its width (in cm)?
2. 2.A square has a perimeter of 8 cm. What is its area (in square cm)?
3. 3.From a rectangle 10 cm long and 12 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
6. 6.A wall is 9 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
8. 8.From a rectangle 13 cm long and 14 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
10. 10.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
13. 13.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
17. 17.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 64 cm. What is its area (in square cm)?
19. 19.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 48 cm. What is its area (in square cm)?
22. 22.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
25. 25.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 10 cm long and 11 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.From a rectangle 11 cm long and 10 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
33. 33.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a square is 18 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
40. 40.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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