Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 591 · 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 72 cm. What is its area (in square cm)?
2. 2.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A wall is 7 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 60 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
9. 9.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
10. 10.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
13. 13.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
16. 16.From a rectangle 13 cm long and 5 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)?
17. 17.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
19. 19.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
21. 21.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 9 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.From a rectangle 16 cm long and 13 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)?
24. 24.From a rectangle 7 cm long and 11 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.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)?
26. 26.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
27. 27.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
29. 29.From a rectangle 11 cm long and 11 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 60 cm and its length is 24 cm. What is its width (in cm)?
32. 32.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a square is 15 cm. What is its perimeter (in cm)?
34. 34.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
35. 35.A square has a perimeter of 40 cm. What is its area (in square cm)?
36. 36.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

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