Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 632 · 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.The perimeter of a rectangle is 88 cm and its length is 27 cm. What is its width (in cm)?
2. 2.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 94 cm and its length is 27 cm. What is its width (in cm)?
8. 8.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
13. 13.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 18 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
17. 17.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 15 cm long and 13 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 8 cm long and 9 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)?
23. 23.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 17 cm long and 11 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 12 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.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 ₹)?
33. 33.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 76 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
36. 36.Each side of a square is 10 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 36 cm. What is its area (in square cm)?
38. 38.A square has a perimeter of 24 cm. What is its area (in square cm)?
39. 39.From a rectangle 10 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?

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