Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 135 · 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 16 cm long and 10 cm wide, a rectangle 14 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
5. 5.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a square is 24 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
9. 9.From a rectangle 6 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.Each side of a square is 10 cm. What is its perimeter (in cm)?
11. 11.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 ₹)?
12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
16. 16.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a square is 12 cm. What is its perimeter (in cm)?
18. 18.Each side of a square is 6 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
20. 20.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
24. 24.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 18 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
34. 34.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.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 ₹)?
39. 39.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 10 cm long and 11 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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