Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 409 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
2. 2.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 108 cm and its length is 28 cm. What is its width (in cm)?
7. 7.A wall is 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 8 cm long and 6 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)?
13. 13.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 40 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
16. 16.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 16 cm. What is its area (in square cm)?
21. 21.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
23. 23.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 15 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
27. 27.From a rectangle 13 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 15 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)?
31. 31.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
32. 32.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A square has a perimeter of 48 cm. What is its area (in square cm)?
36. 36.From a rectangle 11 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)?
37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
38. 38.From a rectangle 16 cm long and 10 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)?
39. 39.A square has a perimeter of 80 cm. What is its area (in square cm)?
40. 40.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

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