Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 601 · 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.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
2. 2.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 6 cm long and 5 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)?
4. 4.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
6. 6.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 19 cm long and 7 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 76 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
13. 13.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 40 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
19. 19.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 20 cm long and 11 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 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
25. 25.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.From a rectangle 10 cm long and 15 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.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 ₹)?
28. 28.From a rectangle 13 cm long and 12 cm wide, a rectangle 6 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 46 cm and its length is 16 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
32. 32.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
33. 33.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
34. 34.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 8 cm. What is its area (in square cm)?

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