Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 24 · 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 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of a square is 24 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
4. 4.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
6. 6.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
11. 11.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
14. 14.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 16 cm long and 13 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
22. 22.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
23. 23.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 16 cm long and 11 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 68 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 8 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
29. 29.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
31. 31.From a rectangle 13 cm long and 9 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 116 cm and its length is 30 cm. What is its width (in cm)?
38. 38.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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