Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 570 · 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.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 12 cm long and 15 cm wide, a rectangle 5 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of a square is 3 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 19 cm long and 12 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a square is 14 cm. What is its perimeter (in cm)?
8. 8.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 11 cm long and 6 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)?
10. 10.From a rectangle 15 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 68 cm. What is its area (in square cm)?
15. 15.From a rectangle 19 cm long and 8 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)?
16. 16.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
17. 17.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
19. 19.From a rectangle 18 cm long and 13 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 6 cm long and 5 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)?
23. 23.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 12 cm. What is its area (in square cm)?
28. 28.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 ₹)?
29. 29.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 ₹)?
30. 30.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 10 m long and 5 m high. Painting costs ₹10 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 ₹11 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 40 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
39. 39.A square has a perimeter of 64 cm. What is its area (in square cm)?
40. 40.A square has a perimeter of 56 cm. What is its area (in square cm)?

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