Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 587 · 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 55 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
6. 6.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 ₹)?
7. 7.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
10. 10.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
12. 12.From a rectangle 9 cm long and 12 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)?
13. 13.Each side of a square is 18 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
15. 15.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
21. 21.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a square is 12 cm. What is its perimeter (in cm)?
26. 26.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
28. 28.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 80 cm. What is its area (in square cm)?
30. 30.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 32 cm. What is its area (in square cm)?
32. 32.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
34. 34.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 6 cm long and 5 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)?
38. 38.From a rectangle 16 cm long and 12 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 7 cm long and 8 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)?
40. 40.From a rectangle 16 cm long and 10 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)?

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