Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 286 · 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.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
2. 2.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 9 cm long and 14 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 14 cm long and 5 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)?
10. 10.From a rectangle 19 cm long and 14 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)?
11. 11.Each side of a square is 6 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 8 cm long and 10 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)?
14. 14.A square has a perimeter of 60 cm. What is its area (in square cm)?
15. 15.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 52 cm. What is its area (in square cm)?
21. 21.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
23. 23.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
25. 25.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
29. 29.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 6 cm long and 14 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 square has a perimeter of 64 cm. What is its area (in square cm)?
32. 32.From a rectangle 16 cm long and 10 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)?
33. 33.Each side of a square is 12 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 96 cm and its length is 28 cm. What is its width (in cm)?
37. 37.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
39. 39.From a rectangle 17 cm long and 12 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

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