Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 579 · 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 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
4. 4.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 12 cm. What is its area (in square cm)?
6. 6.From a rectangle 12 cm long and 10 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
8. 8.From a rectangle 11 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
13. 13.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
15. 15.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
16. 16.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 60 cm. What is its area (in square cm)?
18. 18.A wall is 7 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a square is 17 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 52 cm. What is its area (in square cm)?
23. 23.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
26. 26.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
28. 28.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 11 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)?
31. 31.A square has a perimeter of 28 cm. What is its area (in square cm)?
32. 32.From a rectangle 17 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.From a rectangle 19 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)?
34. 34.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
37. 37.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 12 cm long and 14 cm wide, a rectangle 1 cm by 7 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 38 cm and its length is 13 cm. What is its width (in cm)?
40. 40.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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