Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 426 · 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 wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
4. 4.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 80 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
9. 9.From a rectangle 10 cm long and 7 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)?
10. 10.Each side of a square is 21 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
13. 13.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 9 cm long and 11 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
16. 16.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
19. 19.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
21. 21.From a rectangle 9 cm long and 11 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 10 cm long and 12 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
24. 24.From a rectangle 12 cm long and 12 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
27. 27.From a rectangle 18 cm long and 14 cm wide, a rectangle 4 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 28 cm. What is its area (in square cm)?
30. 30.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
31. 31.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 10 cm long and 11 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
34. 34.A square has a perimeter of 8 cm. What is its area (in square cm)?
35. 35.From a rectangle 9 cm long and 12 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.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 ₹)?
37. 37.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
38. 38.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

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