Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 562 · 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 8 cm. What is its perimeter (in cm)?
2. 2.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 ₹)?
3. 3.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.From a rectangle 9 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)?
5. 5.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
7. 7.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
12. 12.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
14. 14.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 48 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
17. 17.A square has a perimeter of 24 cm. What is its area (in square cm)?
18. 18.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
20. 20.A square has a perimeter of 44 cm. What is its area (in square cm)?
21. 21.From a rectangle 15 cm long and 9 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)?
22. 22.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
24. 24.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
28. 28.From a rectangle 13 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.From a rectangle 20 cm long and 6 cm wide, a rectangle 17 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
32. 32.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
36. 36.The perimeter of a rectangle is 108 cm and its length is 28 cm. What is its width (in cm)?
37. 37.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 8 cm long and 15 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 18 cm long and 15 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of a square is 6 cm. What is its perimeter (in cm)?

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