Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 551 · 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 3 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
3. 3.From a rectangle 8 cm long and 12 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)?
4. 4.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
5. 5.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
6. 6.From a rectangle 13 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
9. 9.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
11. 11.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
13. 13.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
16. 16.From a rectangle 6 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
18. 18.Each side of a square is 10 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
26. 26.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
28. 28.From a rectangle 14 cm long and 5 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.Each side of a square is 16 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
32. 32.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 70 cm and its length is 30 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
38. 38.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
40. 40.A square has a perimeter of 16 cm. What is its area (in square cm)?

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