Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 571 · 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.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
5. 5.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 8 cm long and 9 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)?
8. 8.From a rectangle 20 cm long and 12 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 9 cm long and 10 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)?
12. 12.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 17 cm long and 6 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)?
16. 16.A square has a perimeter of 28 cm. What is its area (in square cm)?
17. 17.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 20 cm long and 8 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 36 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 16 cm. What is its area (in square cm)?
21. 21.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 11 cm long and 14 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
25. 25.From a rectangle 13 cm long and 14 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
27. 27.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
31. 31.From a rectangle 17 cm long and 9 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)?
32. 32.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
36. 36.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 13 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)?
38. 38.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
39. 39.From a rectangle 20 cm long and 11 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.From a rectangle 10 cm long and 10 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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