Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 676 · 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 8 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
3. 3.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
5. 5.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
6. 6.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
7. 7.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 36 cm. What is its area (in square cm)?
9. 9.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
12. 12.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
18. 18.From a rectangle 15 cm long and 15 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 48 cm. What is its area (in square cm)?
23. 23.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a square is 5 cm. What is its perimeter (in cm)?
25. 25.Each side of a square is 19 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
29. 29.Each side of a square is 3 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 10 cm long and 12 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
32. 32.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A square has a perimeter of 12 cm. What is its area (in square cm)?
35. 35.From a rectangle 10 cm long and 11 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
37. 37.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?

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