Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 89 · 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 regular hexagon is 8 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
6. 6.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A square has a perimeter of 76 cm. What is its area (in square cm)?
8. 8.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
10. 10.From a rectangle 17 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A square has a perimeter of 8 cm. What is its area (in square cm)?
12. 12.From a rectangle 19 cm long and 12 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
15. 15.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 8 cm long and 11 cm wide, a rectangle 3 cm by 4 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 12 cm. What is its area (in square cm)?
20. 20.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 19 cm long and 7 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A square has a perimeter of 64 cm. What is its area (in square cm)?
23. 23.From a rectangle 9 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 14 cm long and 6 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
27. 27.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 13 cm long and 8 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
30. 30.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
31. 31.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 14 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 19 cm long and 5 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)?
35. 35.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 8 cm long and 11 cm wide, a rectangle 5 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 75 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 40 cm. What is its area (in square cm)?

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