Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 596 · 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 a regular hexagon is 15 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 72 cm. What is its area (in square cm)?
5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
7. 7.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 36 cm. What is its area (in square cm)?
9. 9.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
10. 10.A wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
13. 13.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 12 cm long and 7 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 20 cm. What is its area (in square cm)?
17. 17.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 52 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 28 cm. What is its area (in square cm)?
20. 20.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 16 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.From a rectangle 18 cm long and 6 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
25. 25.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 80 cm and its length is 27 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
28. 28.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 82 cm and its length is 21 cm. What is its width (in cm)?
30. 30.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
32. 32.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 9 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)?
38. 38.From a rectangle 6 cm long and 9 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 32 cm. What is its area (in square cm)?

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