Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 222 · 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 85 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 36 cm. What is its area (in square cm)?
5. 5.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
7. 7.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
10. 10.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 14 cm long and 9 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 12 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)?
14. 14.Each side of a square is 21 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
16. 16.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 14 cm long and 13 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)?
22. 22.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 56 cm. What is its area (in square cm)?
26. 26.A square has a perimeter of 68 cm. What is its area (in square cm)?
27. 27.From a rectangle 19 cm long and 15 cm wide, a rectangle 5 cm by 2 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 octagon is 25 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 14 cm long and 12 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.From a rectangle 19 cm long and 15 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 8 cm. What is its area (in square cm)?
33. 33.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
35. 35.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 17 cm long and 6 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
39. 39.From a rectangle 6 cm long and 13 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

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