Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 455 · 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 wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
6. 6.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
10. 10.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 ₹)?
11. 11.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
13. 13.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
15. 15.Each side of a square is 6 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
17. 17.A square has a perimeter of 60 cm. What is its area (in square cm)?
18. 18.From a rectangle 15 cm long and 9 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
22. 22.Each side of a square is 15 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 19 cm long and 9 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)?
24. 24.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 8 cm long and 15 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 12 cm long and 15 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 15 cm long and 15 cm wide, a rectangle 4 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
36. 36.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 13 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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