Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 324 · 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 wall is 9 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
3. 3.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 8 cm. What is its area (in square cm)?
8. 8.Each side of a square is 13 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 18 cm long and 14 cm wide, a rectangle 12 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
14. 14.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
15. 15.From a rectangle 9 cm long and 14 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A square has a perimeter of 36 cm. What is its area (in square cm)?
17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
18. 18.A square has a perimeter of 64 cm. What is its area (in square cm)?
19. 19.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a square is 10 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
25. 25.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
26. 26.From a rectangle 6 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)?
27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
28. 28.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
32. 32.A square has a perimeter of 28 cm. What is its area (in square cm)?
33. 33.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.From a rectangle 6 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)?
36. 36.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 76 cm. What is its area (in square cm)?
38. 38.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 56 cm. What is its area (in square cm)?
40. 40.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?

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