Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 123 · 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 square is 4 cm. What is its perimeter (in cm)?
2. 2.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
4. 4.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 15 cm long and 10 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 12 cm long and 13 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
9. 9.From a rectangle 13 cm long and 13 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)?
10. 10.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a square is 12 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 9 cm long and 7 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
14. 14.A square has a perimeter of 32 cm. What is its area (in square cm)?
15. 15.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
18. 18.A wall is 7 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 24 cm. What is its area (in square cm)?
22. 22.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
25. 25.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.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 ₹)?
27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
28. 28.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
30. 30.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
33. 33.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
35. 35.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 72 cm. What is its area (in square cm)?
38. 38.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 ₹)?
39. 39.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 20 cm long and 5 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)?

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