Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 457 · 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 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
5. 5.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
7. 7.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
9. 9.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.From a rectangle 14 cm long and 9 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
14. 14.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
19. 19.A square has a perimeter of 80 cm. What is its area (in square cm)?
20. 20.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
23. 23.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
26. 26.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
29. 29.Each side of a square is 24 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 9 cm long and 14 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)?
31. 31.Each side of a square is 23 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 32 cm. What is its area (in square cm)?
33. 33.From a rectangle 12 cm long and 15 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 13 cm long and 9 cm wide, a rectangle 1 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 80 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
39. 39.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?

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