Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 447 · 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.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
3. 3.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
6. 6.From a rectangle 11 cm long and 10 cm wide, a rectangle 4 cm by 2 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 66 cm and its length is 20 cm. What is its width (in cm)?
8. 8.The perimeter of a rectangle is 96 cm and its length is 27 cm. What is its width (in cm)?
9. 9.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 13 cm long and 8 cm wide, a rectangle 10 cm by 2 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 60 cm and its length is 23 cm. What is its width (in cm)?
12. 12.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
14. 14.From a rectangle 18 cm long and 5 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 20 cm long and 12 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
23. 23.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 66 cm and its length is 30 cm. What is its width (in cm)?
25. 25.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 9 cm long and 6 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)?
27. 27.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (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.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 44 cm. What is its area (in square cm)?
33. 33.From a rectangle 18 cm long and 6 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)?
34. 34.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 ₹)?
35. 35.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 72 cm and its length is 25 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
39. 39.From a rectangle 14 cm long and 13 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)?
40. 40.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

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