Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 375 · 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 85 m long and 50 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
5. 5.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
6. 6.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 ₹)?
7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
9. 9.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A square has a perimeter of 64 cm. What is its area (in square cm)?
11. 11.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 8 cm long and 10 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)?
14. 14.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 108 cm and its length is 30 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 44 cm. What is its area (in square cm)?
19. 19.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.The perimeter of a rectangle is 78 cm and its length is 26 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 24 cm. What is its area (in square cm)?
22. 22.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
26. 26.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.From a rectangle 8 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
30. 30.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 17 cm long and 15 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 9 cm long and 10 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)?
33. 33.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
34. 34.A square has a perimeter of 80 cm. What is its area (in square cm)?
35. 35.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
39. 39.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

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