Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 249 · 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 hexagon is 12 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 20 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
7. 7.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 ₹)?
8. 8.A square has a perimeter of 76 cm. What is its area (in square cm)?
9. 9.Each side of a square is 4 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 15 cm long and 15 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
17. 17.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 13 cm long and 11 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.The perimeter of a rectangle is 60 cm and its length is 24 cm. What is its width (in cm)?
21. 21.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A square has a perimeter of 24 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
24. 24.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 72 cm and its length is 26 cm. What is its width (in cm)?
27. 27.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 60 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
30. 30.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
33. 33.A wall is 8 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 10 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 80 cm and its length is 28 cm. What is its width (in cm)?
38. 38.Each side of a square is 11 cm. What is its perimeter (in cm)?
39. 39.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?

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