Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 321 · 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.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
2. 2.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.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 ₹)?
5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
6. 6.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 20 cm long and 11 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)?
9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
10. 10.A square has a perimeter of 52 cm. What is its area (in square cm)?
11. 11.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
16. 16.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
19. 19.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
20. 20.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 8 cm. What is its area (in square cm)?
23. 23.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 18 cm long and 10 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
30. 30.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
32. 32.Each side of a square is 16 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 10 cm long and 13 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
36. 36.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
39. 39.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.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 ₹)?

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