Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 215 · 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.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
2. 2.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 16 cm. What is its area (in square cm)?
5. 5.From a rectangle 17 cm long and 5 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 56 cm. What is its area (in square cm)?
9. 9.Each side of a square is 6 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 12 cm long and 13 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.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 ₹)?
12. 12.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 98 cm and its length is 30 cm. What is its width (in cm)?
14. 14.From a rectangle 15 cm long and 5 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 72 cm. What is its area (in square cm)?
17. 17.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 12 cm long and 15 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
27. 27.Each side of a square is 25 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
31. 31.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
35. 35.From a rectangle 19 cm long and 7 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)?
36. 36.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
39. 39.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?

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