Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 369 · 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 24 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
3. 3.Each side of a square is 17 cm. What is its perimeter (in cm)?
4. 4.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 14 cm long and 13 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 16 cm long and 6 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)?
7. 7.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
9. 9.A wall is 6 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
14. 14.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 19 cm long and 6 cm wide, a rectangle 11 cm by 4 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 20 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
19. 19.From a rectangle 20 cm long and 6 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A square has a perimeter of 36 cm. What is its area (in square cm)?
21. 21.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 17 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
24. 24.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
31. 31.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 60 cm. What is its area (in square cm)?
37. 37.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 9 cm long and 15 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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