Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 687 · 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 45 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.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 ₹)?
3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
10. 10.Each side of a square is 2 cm. What is its perimeter (in cm)?
11. 11.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 44 cm. What is its area (in square cm)?
13. 13.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
14. 14.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
16. 16.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 60 cm and its length is 27 cm. What is its width (in cm)?
20. 20.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
22. 22.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
24. 24.From a rectangle 13 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 19 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)?
26. 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 15 cm long and 11 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)?
28. 28.From a rectangle 11 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)?
29. 29.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 ₹)?
30. 30.The perimeter of a rectangle is 58 cm and its length is 27 cm. What is its width (in cm)?
31. 31.From a rectangle 9 cm long and 6 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)?
32. 32.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 52 cm. What is its area (in square cm)?
34. 34.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
35. 35.A square has a perimeter of 48 cm. What is its area (in square cm)?
36. 36.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
39. 39.A square has a perimeter of 28 cm. What is its area (in square cm)?
40. 40.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

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