Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 74 · 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 24 cm. What is its area (in square cm)?
2. 2.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 68 cm. What is its area (in square cm)?
5. 5.From a rectangle 11 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
8. 8.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 12 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 68 cm and its length is 27 cm. What is its width (in cm)?
17. 17.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
18. 18.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
20. 20.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
24. 24.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 20 cm. What is its area (in square cm)?
26. 26.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
29. 29.From a rectangle 19 cm long and 14 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 12 cm long and 6 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)?
31. 31.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
33. 33.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
34. 34.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 16 cm long and 15 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
40. 40.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?

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