Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 236 · 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 30 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 12 cm. What is its area (in square cm)?
3. 3.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
5. 5.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 48 cm. What is its area (in square cm)?
7. 7.From a rectangle 8 cm long and 12 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 114 cm and its length is 30 cm. What is its width (in cm)?
10. 10.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
13. 13.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
14. 14.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 13 cm long and 8 cm wide, a rectangle 9 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 65 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a square is 17 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.From a rectangle 7 cm long and 13 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)?
25. 25.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
27. 27.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
28. 28.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
29. 29.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 20 cm long and 11 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 70 cm and its length is 24 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
36. 36.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 52 cm. What is its area (in square cm)?
39. 39.From a rectangle 14 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)?
40. 40.From a rectangle 14 cm long and 5 cm wide, a rectangle 9 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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