Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 415 · 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 25 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
4. 4.A wall is 9 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 9 cm long and 7 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 9 cm long and 8 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)?
7. 7.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
10. 10.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
14. 14.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
16. 16.Each side of a square is 9 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 13 cm long and 7 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.The perimeter of a rectangle is 80 cm and its length is 25 cm. What is its width (in cm)?
20. 20.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 18 cm long and 9 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 7 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
29. 29.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a square is 7 cm. What is its perimeter (in cm)?
35. 35.A square has a perimeter of 72 cm. What is its area (in square cm)?
36. 36.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 28 cm. What is its area (in square cm)?
38. 38.From a rectangle 10 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
40. 40.From a rectangle 15 cm long and 15 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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