Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 382 · 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 60 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
4. 4.From a rectangle 20 cm long and 7 cm wide, a rectangle 17 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 18 cm long and 11 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
7. 7.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 36 cm. What is its area (in square cm)?
9. 9.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a square is 2 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
13. 13.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
14. 14.Each side of a square is 4 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 11 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A square has a perimeter of 8 cm. What is its area (in square cm)?
17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
18. 18.From a rectangle 16 cm long and 5 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
22. 22.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
24. 24.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 15 cm. What is its perimeter (in cm)?
29. 29.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
33. 33.A wall is 9 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
38. 38.From a rectangle 7 cm long and 5 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)?
39. 39.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
40. 40.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?

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