Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 133 · 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 100 m long and 75 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 10 cm long and 9 cm wide, a rectangle 3 cm by 1 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 wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.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 ₹)?
8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 40 cm. What is its area (in square cm)?
10. 10.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
12. 12.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
15. 15.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
18. 18.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a square is 17 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
22. 22.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
24. 24.A square has a perimeter of 16 cm. What is its area (in square cm)?
25. 25.From a rectangle 13 cm long and 11 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
28. 28.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
29. 29.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a square is 24 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
34. 34.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
35. 35.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 24 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
38. 38.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 ₹)?
39. 39.A square has a perimeter of 52 cm. What is its area (in square cm)?
40. 40.A square has a perimeter of 80 cm. What is its area (in square cm)?

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