Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 681 · 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 rectangular field is 45 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 64 cm. What is its area (in square cm)?
7. 7.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
8. 8.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.From a rectangle 7 cm long and 6 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)?
11. 11.Each side of a square is 16 cm. What is its perimeter (in cm)?
12. 12.Each side of a square is 12 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
14. 14.A square has a perimeter of 76 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
16. 16.From a rectangle 15 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)?
17. 17.A square has a perimeter of 32 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.From a rectangle 6 cm long and 15 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A square has a perimeter of 60 cm. What is its area (in square cm)?
22. 22.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
30. 30.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.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 ₹)?
32. 32.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of a square is 6 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 36 cm. What is its area (in square cm)?
39. 39.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
40. 40.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?

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