Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 83 · 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 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 18 cm long and 9 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 3 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
10. 10.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 14 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 16 cm. What is its area (in square cm)?
16. 16.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.From a rectangle 15 cm long and 14 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 64 cm. What is its area (in square cm)?
24. 24.A wall is 12 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
31. 31.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
33. 33.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a square is 25 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 20 cm. What is its area (in square cm)?
37. 37.A wall is 6 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
39. 39.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?

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