Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 351 · 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 12 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
4. 4.From a rectangle 8 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
7. 7.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 32 cm. What is its area (in square cm)?
12. 12.From a rectangle 15 cm long and 9 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
14. 14.Each side of a square is 16 cm. What is its perimeter (in cm)?
15. 15.Each side of a square is 13 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 14 cm long and 10 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹20 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.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 80 cm. What is its area (in square cm)?
21. 21.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
24. 24.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
25. 25.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
26. 26.From a rectangle 14 cm long and 15 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
31. 31.A square has a perimeter of 12 cm. What is its area (in square cm)?
32. 32.Each side of a square is 6 cm. What is its perimeter (in cm)?
33. 33.A square has a perimeter of 36 cm. What is its area (in square cm)?
34. 34.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
35. 35.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 16 cm long and 14 cm wide, a rectangle 14 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a square is 23 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 76 cm. What is its area (in square cm)?
39. 39.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 72 cm. What is its area (in square cm)?

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