Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 233 · 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 14 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 48 cm. What is its area (in square cm)?
4. 4.A wall is 4 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 11 cm long and 12 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 10 cm long and 8 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a square is 18 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 56 cm. What is its area (in square cm)?
11. 11.From a rectangle 7 cm long and 15 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
14. 14.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 ₹)?
15. 15.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
18. 18.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 11 cm long and 6 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)?
20. 20.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.From a rectangle 14 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)?
24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
27. 27.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
29. 29.Each side of a square is 17 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
31. 31.A square has a perimeter of 32 cm. What is its area (in square cm)?
32. 32.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
33. 33.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
37. 37.From a rectangle 7 cm long and 6 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)?
38. 38.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
39. 39.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?

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