Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 39 · 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 24 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 52 cm. What is its area (in square cm)?
3. 3.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a square is 3 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
7. 7.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
9. 9.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
10. 10.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 106 cm and its length is 27 cm. What is its width (in cm)?
12. 12.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
15. 15.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of a square is 5 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
19. 19.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
21. 21.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
23. 23.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 16 cm. What is its area (in square cm)?
25. 25.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 16 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 12 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.From a rectangle 15 cm long and 15 cm wide, a rectangle 6 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 28 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
34. 34.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
36. 36.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 76 cm and its length is 28 cm. What is its width (in cm)?
39. 39.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

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