Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 76 · 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 40 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
3. 3.Each side of a square is 8 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 6 cm long and 8 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
7. 7.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
10. 10.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
11. 11.Each side of a square is 2 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 24 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
15. 15.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 102 cm and its length is 29 cm. What is its width (in cm)?
18. 18.From a rectangle 7 cm long and 9 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
24. 24.From a rectangle 17 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 15 cm long and 14 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A wall is 3 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
28. 28.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 19 cm long and 6 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 20 cm long and 14 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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