Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 673 · 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 70 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
4. 4.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
6. 6.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 15 cm long and 8 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)?
9. 9.Each side of a square is 12 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 12 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 82 cm and its length is 30 cm. What is its width (in cm)?
13. 13.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
17. 17.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 6 cm long and 6 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)?
19. 19.From a rectangle 8 cm long and 7 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)?
20. 20.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
21. 21.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
23. 23.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 48 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
28. 28.A square has a perimeter of 80 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
30. 30.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 36 cm. What is its area (in square cm)?
38. 38.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 16 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 40 cm. What is its area (in square cm)?

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