Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 124 · 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 95 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
4. 4.From a rectangle 20 cm long and 8 cm wide, a rectangle 17 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 48 cm. What is its area (in square cm)?
9. 9.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
15. 15.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
19. 19.A square has a perimeter of 20 cm. What is its area (in square cm)?
20. 20.From a rectangle 12 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 80 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
27. 27.From a rectangle 18 cm long and 10 cm wide, a rectangle 11 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 36 cm. What is its area (in square cm)?
30. 30.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
35. 35.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
37. 37.A square has a perimeter of 60 cm. What is its area (in square cm)?
38. 38.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a square is 10 cm. What is its perimeter (in cm)?
40. 40.Each side of a square is 23 cm. What is its perimeter (in cm)?

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