Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 45 · 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.The perimeter of a rectangle is 92 cm and its length is 26 cm. What is its width (in cm)?
2. 2.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 8 cm long and 14 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
6. 6.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
7. 7.Each side of a square is 8 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 72 cm and its length is 23 cm. What is its width (in cm)?
13. 13.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
15. 15.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
17. 17.A wall is 10 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 84 cm and its length is 26 cm. What is its width (in cm)?
20. 20.From a rectangle 12 cm long and 13 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.The perimeter of a rectangle is 82 cm and its length is 25 cm. What is its width (in cm)?
23. 23.From a rectangle 8 cm long and 12 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
27. 27.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
28. 28.A wall is 9 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
30. 30.Each side of a square is 11 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 7 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
33. 33.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
36. 36.From a rectangle 7 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
40. 40.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

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