Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 280 · 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 65 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 18 cm long and 8 cm wide, a rectangle 15 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 52 cm. What is its area (in square cm)?
5. 5.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
7. 7.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
9. 9.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
13. 13.From a rectangle 8 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 11 cm long and 15 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
19. 19.From a rectangle 11 cm long and 13 cm wide, a rectangle 7 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
22. 22.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.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 ₹)?
25. 25.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
27. 27.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a square is 6 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 56 cm. What is its area (in square cm)?
30. 30.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
32. 32.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 12 cm long and 12 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A square has a perimeter of 64 cm. What is its area (in square cm)?
36. 36.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
37. 37.A square has a perimeter of 48 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 86 cm and its length is 22 cm. What is its width (in cm)?
40. 40.From a rectangle 18 cm long and 14 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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