Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 143 · 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.From a rectangle 18 cm long and 7 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 11 cm long and 14 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
7. 7.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
17. 17.From a rectangle 11 cm long and 15 cm wide, a rectangle 2 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
19. 19.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 19 cm long and 7 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A square has a perimeter of 44 cm. What is its area (in square cm)?
23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
25. 25.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 ₹)?
26. 26.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
28. 28.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
30. 30.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
31. 31.A wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
34. 34.A square has a perimeter of 28 cm. What is its area (in square cm)?
35. 35.Each side of a square is 11 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
38. 38.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a square is 22 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?

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