Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 599 · 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 square has a perimeter of 40 cm. What is its area (in square cm)?
2. 2.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 72 cm and its length is 29 cm. What is its width (in cm)?
5. 5.From a rectangle 13 cm long and 12 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
7. 7.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 8 cm long and 13 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
12. 12.From a rectangle 17 cm long and 7 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)?
13. 13.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
14. 14.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 12 cm long and 13 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)?
17. 17.From a rectangle 20 cm long and 9 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 15 cm long and 10 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)?
20. 20.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
21. 21.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a square is 13 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 15 cm long and 15 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
25. 25.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
29. 29.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 6 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)?
32. 32.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
34. 34.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 14 cm long and 14 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 20 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.From a rectangle 18 cm long and 7 cm wide, a rectangle 15 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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