Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 555 · 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 24 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 15 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)?
3. 3.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
8. 8.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
10. 10.Each side of a square is 19 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
12. 12.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 ₹)?
13. 13.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a square is 10 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
18. 18.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 11 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 6 cm long and 5 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)?
22. 22.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.From a rectangle 14 cm long and 7 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 52 cm. What is its area (in square cm)?
27. 27.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A wall is 5 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 8 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 8 cm long and 14 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A square has a perimeter of 40 cm. What is its area (in square cm)?
34. 34.From a rectangle 13 cm long and 11 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 44 cm. What is its area (in square cm)?
36. 36.A square has a perimeter of 12 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
38. 38.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

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