Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 104 · 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 56 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
3. 3.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
8. 8.From a rectangle 6 cm long and 9 cm wide, a rectangle 3 cm by 5 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 80 cm. What is its area (in square cm)?
10. 10.From a rectangle 13 cm long and 10 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
16. 16.A wall is 4 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 82 cm and its length is 25 cm. What is its width (in cm)?
20. 20.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
22. 22.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.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 ₹)?
25. 25.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 52 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
28. 28.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.From a rectangle 14 cm long and 15 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 8 cm. What is its area (in square cm)?
32. 32.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 36 cm. What is its area (in square cm)?
34. 34.A wall is 9 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
39. 39.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.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 ₹)?

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