Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 204 · 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 square is 14 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 36 cm. What is its area (in square cm)?
3. 3.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 100 cm and its length is 29 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
7. 7.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 3 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 a regular octagon is 13 cm. What is its perimeter (in cm)?
11. 11.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 14 cm long and 6 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 11 cm long and 13 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.From a rectangle 8 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
18. 18.From a rectangle 20 cm long and 9 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 6 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 12 cm long and 9 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 8 cm long and 13 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)?
22. 22.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
25. 25.From a rectangle 19 cm long and 6 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)?
26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
28. 28.From a rectangle 7 cm long and 5 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)?
29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
30. 30.From a rectangle 18 cm long and 15 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
34. 34.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 104 cm and its length is 29 cm. What is its width (in cm)?
37. 37.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
40. 40.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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