Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 659 · 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 80 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹6 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 14 cm. What is its width (in cm)?
4. 4.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
6. 6.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
9. 9.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 18 cm long and 14 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)?
11. 11.The perimeter of a rectangle is 98 cm and its length is 28 cm. What is its width (in cm)?
12. 12.From a rectangle 10 cm long and 11 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 14 cm long and 14 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a square is 24 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 17 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
25. 25.A wall is 3 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 13 cm long and 13 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A square has a perimeter of 36 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
29. 29.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
31. 31.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 86 cm and its length is 27 cm. What is its width (in cm)?
35. 35.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
36. 36.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?

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