Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 13 · 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 40 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 10 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)?
3. 3.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.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 ₹)?
5. 5.From a rectangle 14 cm long and 6 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)?
6. 6.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
9. 9.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
11. 11.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
14. 14.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.From a rectangle 16 cm long and 10 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
17. 17.From a rectangle 8 cm long and 8 cm wide, a rectangle 2 cm by 2 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 60 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 52 cm. What is its area (in square cm)?
20. 20.From a rectangle 9 cm long and 12 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
23. 23.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 9 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 13 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A square has a perimeter of 8 cm. What is its area (in square cm)?
30. 30.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a square is 22 cm. What is its perimeter (in cm)?
34. 34.Each side of a square is 6 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 18 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?

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