Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 234 · 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 75 m long and 65 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 102 cm and its length is 29 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
4. 4.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 ₹)?
5. 5.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
8. 8.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
11. 11.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 15 cm long and 13 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
17. 17.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
21. 21.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 11 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 64 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
26. 26.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
29. 29.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 44 cm. What is its area (in square cm)?
33. 33.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 8 cm long and 13 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a square is 11 cm. What is its perimeter (in cm)?
40. 40.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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