Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 82 · 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.A square has a perimeter of 24 cm. What is its area (in square cm)?
2. 2.Each side of a square is 4 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
5. 5.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
6. 6.Each side of a square is 15 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 44 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
9. 9.From a rectangle 12 cm long and 14 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
13. 13.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 52 cm. What is its area (in square cm)?
15. 15.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
17. 17.A wall is 9 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
21. 21.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a square is 12 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
24. 24.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 16 cm. What is its area (in square cm)?
26. 26.A square has a perimeter of 76 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
28. 28.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.Each side of a square is 13 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
33. 33.From a rectangle 18 cm long and 10 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.From a rectangle 12 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 48 cm and its length is 22 cm. What is its width (in cm)?
37. 37.Each side of a square is 20 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of a square is 9 cm. What is its perimeter (in cm)?

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