Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 630 · 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.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
2. 2.From a rectangle 7 cm long and 14 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
4. 4.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
6. 6.From a rectangle 12 cm long and 12 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 8 cm. What is its area (in square cm)?
10. 10.Each side of a square is 21 cm. What is its perimeter (in cm)?
11. 11.A wall is 7 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 19 cm long and 12 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 a square is 9 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
16. 16.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
18. 18.A wall is 3 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
22. 22.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
23. 23.Each side of a square is 20 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 76 cm. What is its area (in square cm)?
25. 25.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 16 cm long and 15 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 6 cm long and 15 cm wide, a rectangle 4 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
31. 31.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 12 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?

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