Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 427 · 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 square has a perimeter of 20 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 84 cm and its length is 23 cm. What is its width (in cm)?
3. 3.From a rectangle 6 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 8 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 100 cm and its length is 29 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 36 cm. What is its area (in square cm)?
9. 9.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 ₹)?
10. 10.Each side of a square is 18 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a square is 2 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
19. 19.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 7 cm long and 6 cm wide, a rectangle 1 cm by 3 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 40 cm and its length is 16 cm. What is its width (in cm)?
22. 22.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A square has a perimeter of 12 cm. What is its area (in square cm)?
27. 27.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 21 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 60 cm. What is its area (in square cm)?
30. 30.From a rectangle 10 cm long and 7 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)?
31. 31.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
32. 32.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
34. 34.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
37. 37.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A wall is 6 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

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