Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 69 · 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 12 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 60 cm. What is its area (in square cm)?
3. 3.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
5. 5.From a rectangle 15 cm long and 9 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.From a rectangle 7 cm long and 15 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.From a rectangle 15 cm long and 13 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
13. 13.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 9 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)?
15. 15.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
18. 18.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
19. 19.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
22. 22.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
24. 24.Each side of a square is 22 cm. What is its perimeter (in cm)?
25. 25.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
29. 29.Each side of a square is 9 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 18 cm long and 10 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
33. 33.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 6 cm long and 12 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.From a rectangle 17 cm long and 13 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 52 cm. What is its area (in square cm)?
39. 39.From a rectangle 14 cm long and 6 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.From a rectangle 10 cm long and 7 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)?

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