Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 30 · 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 80 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
3. 3.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 80 cm. What is its area (in square cm)?
8. 8.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 18 cm long and 14 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
16. 16.Each side of a square is 25 cm. What is its perimeter (in cm)?
17. 17.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 15 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
20. 20.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 12 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)?
26. 26.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 13 cm long and 5 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)?
29. 29.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 20 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 19 cm long and 5 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
35. 35.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
37. 37.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
40. 40.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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