Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 515 · 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 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
3. 3.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 20 cm long and 14 cm wide, a rectangle 16 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
10. 10.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 20 cm long and 11 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
13. 13.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 68 cm and its length is 21 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
17. 17.From a rectangle 14 cm long and 8 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 68 cm and its length is 22 cm. What is its width (in cm)?
20. 20.From a rectangle 12 cm long and 11 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)?
21. 21.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a square is 25 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
24. 24.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 60 cm. What is its area (in square cm)?
27. 27.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
30. 30.From a rectangle 6 cm long and 11 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
32. 32.Each side of a square is 22 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 12 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A square has a perimeter of 8 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
36. 36.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 15 cm long and 7 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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