Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 692 · 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 6 cm. What is its perimeter (in cm)?
2. 2.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.Each side of a square is 18 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
9. 9.From a rectangle 14 cm long and 13 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
11. 11.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 68 cm. What is its area (in square cm)?
13. 13.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
17. 17.From a rectangle 9 cm long and 12 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a square is 8 cm. What is its perimeter (in cm)?
21. 21.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 76 cm and its length is 20 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
24. 24.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 15 cm long and 10 cm wide, a rectangle 6 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 9 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 64 cm. What is its area (in square cm)?
34. 34.From a rectangle 11 cm long and 8 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 20 cm long and 10 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)?
36. 36.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
37. 37.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
40. 40.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

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