Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 295 · 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 15 cm long and 11 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
3. 3.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A square has a perimeter of 52 cm. What is its area (in square cm)?
5. 5.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
8. 8.From a rectangle 17 cm long and 12 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a square is 19 cm. What is its perimeter (in cm)?
10. 10.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 ₹)?
11. 11.From a rectangle 6 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular pentagon is 5 cm. What is its perimeter (in 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.From a rectangle 18 cm long and 8 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)?
15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
16. 16.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
17. 17.Each side of a square is 17 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
19. 19.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 32 cm. What is its area (in square cm)?
22. 22.Each side of a square is 20 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 6 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
25. 25.From a rectangle 17 cm long and 8 cm wide, a rectangle 15 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
30. 30.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
32. 32.From a rectangle 14 cm long and 11 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)?
33. 33.From a rectangle 15 cm long and 6 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.From a rectangle 15 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 56 cm. What is its area (in square cm)?
38. 38.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

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