Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 35 · 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 square has a perimeter of 16 cm. What is its area (in square cm)?
2. 2.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 9 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)?
6. 6.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
7. 7.From a rectangle 7 cm long and 8 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.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 10 cm long and 6 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)?
10. 10.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
12. 12.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
16. 16.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
18. 18.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 8 cm long and 6 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)?
21. 21.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
24. 24.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a square is 11 cm. What is its perimeter (in cm)?
26. 26.Each side of a square is 17 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 19 cm long and 10 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)?
29. 29.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 58 cm and its length is 27 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
33. 33.From a rectangle 7 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 72 cm. What is its area (in square cm)?
40. 40.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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