Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 85 · 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.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
2. 2.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 7 cm long and 6 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)?
5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
6. 6.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 15 cm long and 8 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
12. 12.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
15. 15.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
17. 17.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
19. 19.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
20. 20.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
23. 23.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
26. 26.A wall is 12 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 62 cm and its length is 28 cm. What is its width (in cm)?
28. 28.A square has a perimeter of 28 cm. What is its area (in square cm)?
29. 29.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
31. 31.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 36 cm. What is its area (in square cm)?
34. 34.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
35. 35.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
37. 37.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 20 cm long and 9 cm wide, a rectangle 18 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?

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