Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 345 · 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 80 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 60 cm. What is its area (in square cm)?
3. 3.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
7. 7.A wall is 3 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 20 cm. What is its area (in square cm)?
9. 9.A rectangular field is 35 m long and 10 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 16 cm and its length is 6 cm. What is its width (in cm)?
11. 11.From a rectangle 7 cm long and 5 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)?
12. 12.Each side of a square is 6 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 10 cm long and 12 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 8 cm. What is its area (in square cm)?
17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
18. 18.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 76 cm and its length is 23 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 88 cm and its length is 30 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
22. 22.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
24. 24.A wall is 8 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A square has a perimeter of 12 cm. What is its area (in square cm)?
26. 26.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.From a rectangle 20 cm long and 8 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.Each side of a square is 18 cm. What is its perimeter (in cm)?
30. 30.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
33. 33.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 7 cm long and 11 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)?
35. 35.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
37. 37.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
39. 39.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 52 cm. What is its area (in square cm)?

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