Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 380 · 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 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 12 cm. What is its area (in square cm)?
3. 3.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
4. 4.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
6. 6.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 9 cm long and 11 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
11. 11.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 32 cm. What is its area (in square cm)?
14. 14.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of a square is 13 cm. What is its perimeter (in cm)?
17. 17.A wall is 3 m long and 3 m high. Painting costs ₹35 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 2 cm by 1 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 36 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 40 cm. What is its area (in square cm)?
21. 21.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
25. 25.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
28. 28.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 44 cm. What is its area (in square cm)?
30. 30.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
31. 31.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
33. 33.From a rectangle 7 cm long and 14 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
35. 35.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 16 cm long and 15 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?

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