Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 23 · 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.A square has a perimeter of 12 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 16 cm. What is its area (in square cm)?
4. 4.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.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 ₹)?
6. 6.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 10 cm long and 10 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)?
8. 8.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
9. 9.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 17 cm long and 12 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
12. 12.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 15 cm long and 9 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 48 cm. What is its area (in square cm)?
18. 18.A square has a perimeter of 44 cm. What is its area (in square cm)?
19. 19.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 16 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)?
21. 21.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A square has a perimeter of 52 cm. What is its area (in square cm)?
23. 23.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.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 ₹)?
25. 25.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
26. 26.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 12 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 76 cm. What is its area (in square cm)?
32. 32.From a rectangle 10 cm long and 15 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)?
33. 33.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
34. 34.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
36. 36.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
38. 38.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 18 cm long and 12 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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