Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 706 · 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 72 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
6. 6.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 17 cm long and 15 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
9. 9.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
12. 12.Each side of a square is 5 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
15. 15.From a rectangle 9 cm long and 10 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 40 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
19. 19.From a rectangle 12 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)?
20. 20.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 20 cm long and 15 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)?
22. 22.Each side of a square is 17 cm. What is its perimeter (in cm)?
23. 23.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
25. 25.Each side of a square is 21 cm. What is its perimeter (in cm)?
26. 26.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.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 ₹)?
29. 29.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
30. 30.From a rectangle 17 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 10 cm long and 7 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)?
33. 33.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a square is 16 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 32 cm. What is its area (in square cm)?
37. 37.From a rectangle 8 cm long and 9 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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