Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 61 · 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 pentagon is 22 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 36 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
5. 5.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 12 cm long and 9 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
10. 10.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
13. 13.From a rectangle 15 cm long and 10 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.From a rectangle 12 cm long and 14 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 17 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
21. 21.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 9 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)?
24. 24.A square has a perimeter of 64 cm. What is its area (in square cm)?
25. 25.A square has a perimeter of 52 cm. What is its area (in square cm)?
26. 26.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
29. 29.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 60 cm and its length is 24 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
33. 33.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
35. 35.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 68 cm. What is its area (in square cm)?
37. 37.Each side of a square is 17 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 13 cm long and 8 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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