Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 642 · 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 rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
6. 6.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 16 cm. What is its area (in square cm)?
8. 8.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 12 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 48 cm. What is its area (in square cm)?
12. 12.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 9 cm long and 10 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 13 cm long and 15 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)?
17. 17.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
19. 19.From a rectangle 9 cm long and 15 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)?
20. 20.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
21. 21.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
24. 24.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 11 cm long and 6 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
29. 29.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
31. 31.A square has a perimeter of 36 cm. What is its area (in square cm)?
32. 32.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
33. 33.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
34. 34.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 10 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A square has a perimeter of 8 cm. What is its area (in square cm)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 17 cm long and 9 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)?

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