Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 391 · 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 70 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
7. 7.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
8. 8.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
11. 11.From a rectangle 10 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A square has a perimeter of 68 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
14. 14.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 7 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a square is 22 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 84 cm and its length is 26 cm. What is its width (in cm)?
19. 19.Each side of a square is 9 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a square is 16 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 9 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 6 cm long and 13 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)?
30. 30.From a rectangle 16 cm long and 9 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 14 cm long and 10 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)?
34. 34.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 19 cm long and 14 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 17 cm long and 12 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

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