Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 689 · 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 20 cm and its length is 6 cm. What is its width (in cm)?
2. 2.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
3. 3.From a rectangle 14 cm long and 15 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)?
4. 4.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 20 cm long and 15 cm wide, a rectangle 18 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 12 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 36 cm and its length is 11 cm. What is its width (in cm)?
9. 9.From a rectangle 16 cm long and 14 cm wide, a rectangle 11 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
11. 11.From a rectangle 18 cm long and 14 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 32 cm. What is its area (in square cm)?
15. 15.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a square is 24 cm. What is its perimeter (in cm)?
17. 17.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
19. 19.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 16 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
22. 22.From a rectangle 13 cm long and 14 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.The perimeter of a rectangle is 102 cm and its length is 27 cm. What is its width (in cm)?
24. 24.A square has a perimeter of 28 cm. What is its area (in square cm)?
25. 25.Each side of a square is 4 cm. What is its perimeter (in cm)?
26. 26.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
28. 28.Each side of a square is 9 cm. What is its perimeter (in cm)?
29. 29.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a square is 8 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 36 cm. What is its area (in square cm)?
33. 33.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 15 cm long and 10 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
40. 40.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

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