Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 54 · 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 12 cm. What is its area (in square cm)?
2. 2.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 18 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
6. 6.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
9. 9.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 14 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 20 cm long and 12 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
17. 17.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 7 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
21. 21.From a rectangle 18 cm long and 14 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 40 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
29. 29.From a rectangle 20 cm long and 5 cm wide, a rectangle 17 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 56 cm and its length is 24 cm. What is its width (in cm)?
32. 32.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 ₹)?
33. 33.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
35. 35.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 20 cm long and 7 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
39. 39.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
40. 40.Each side of a square is 17 cm. What is its perimeter (in cm)?

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