Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 377 · 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 52 cm. What is its area (in square cm)?
2. 2.From a rectangle 20 cm long and 5 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)?
3. 3.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 8 cm long and 14 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
12. 12.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 7 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)?
14. 14.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹11 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 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?
18. 18.From a rectangle 13 cm long and 6 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)?
19. 19.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
24. 24.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 12 cm long and 8 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.Each side of a square is 3 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 36 cm. What is its area (in square cm)?
30. 30.From a rectangle 11 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 19 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 14 cm long and 9 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)?
35. 35.A square has a perimeter of 44 cm. What is its area (in square cm)?
36. 36.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 15 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?

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