Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 346 · 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 28 cm. What is its area (in square cm)?
2. 2.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
4. 4.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
7. 7.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 11 cm long and 9 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
12. 12.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
17. 17.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
19. 19.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
22. 22.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
23. 23.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 18 cm long and 12 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 14 cm long and 14 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
27. 27.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a square is 10 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.From a rectangle 11 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
37. 37.From a rectangle 18 cm long and 15 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

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