Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 65 · 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.Each side of a square is 3 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 60 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
9. 9.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a square is 10 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
15. 15.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
18. 18.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 16 cm long and 11 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 15 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)?
22. 22.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a square is 7 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
27. 27.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 20 cm long and 14 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A wall is 6 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a square is 12 cm. What is its perimeter (in cm)?
32. 32.From a rectangle 10 cm long and 15 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
35. 35.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
37. 37.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
40. 40.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

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