Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 436 · 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 48 cm and its length is 15 cm. What is its width (in cm)?
2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
4. 4.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 6 cm long and 6 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)?
6. 6.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
8. 8.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
13. 13.From a rectangle 16 cm long and 9 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.From a rectangle 10 cm long and 13 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A square has a perimeter of 48 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 8 cm. What is its area (in square cm)?
17. 17.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 9 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 10 cm long and 13 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)?
21. 21.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
24. 24.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 94 cm and its length is 27 cm. What is its width (in cm)?
28. 28.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
33. 33.Each side of a square is 17 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 14 cm long and 7 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 20 cm long and 7 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.Each side of a square is 8 cm. What is its perimeter (in cm)?
37. 37.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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