Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 226 · 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 100 m long and 85 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 6 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
7. 7.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 48 cm and its length is 15 cm. What is its width (in cm)?
10. 10.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 20 cm long and 14 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)?
14. 14.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
15. 15.A wall is 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 14 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
21. 21.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
24. 24.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 60 cm. What is its area (in square cm)?
26. 26.From a rectangle 9 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 11 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
29. 29.A wall is 9 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 16 cm. What is its area (in square cm)?
31. 31.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 88 cm and its length is 28 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
37. 37.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 17 cm long and 11 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?

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