Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 560 · 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 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 18 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 24 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
9. 9.From a rectangle 15 cm long and 6 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)?
10. 10.From a rectangle 12 cm long and 15 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)?
11. 11.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
12. 12.From a rectangle 16 cm long and 10 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 52 cm. What is its area (in square cm)?
15. 15.From a rectangle 18 cm long and 8 cm wide, a rectangle 16 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
17. 17.From a rectangle 7 cm long and 15 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 68 cm. What is its area (in square cm)?
19. 19.From a rectangle 17 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 100 cm and its length is 27 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
24. 24.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a square is 14 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
29. 29.A square has a perimeter of 72 cm. What is its area (in square cm)?
30. 30.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 ₹)?
31. 31.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
34. 34.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a square is 5 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
39. 39.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

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