Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 327 · 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 a regular pentagon is 8 cm. What is its perimeter (in cm)?
2. 2.Each side of a square is 22 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 20 cm long and 8 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)?
5. 5.A square has a perimeter of 72 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
7. 7.From a rectangle 18 cm long and 6 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A square has a perimeter of 16 cm. What is its area (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 12 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
12. 12.From a rectangle 8 cm long and 14 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A rectangular field is 75 m long and 20 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 8 cm. What is its area (in square cm)?
16. 16.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
18. 18.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 52 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
21. 21.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 12 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
26. 26.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.From a rectangle 11 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
30. 30.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
31. 31.From a rectangle 13 cm long and 9 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
34. 34.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
37. 37.From a rectangle 6 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
40. 40.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 ₹)?

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