Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 639 · 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 wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
3. 3.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
6. 6.From a rectangle 10 cm long and 8 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)?
7. 7.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
8. 8.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
9. 9.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
11. 11.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
14. 14.From a rectangle 9 cm long and 12 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 15 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)?
16. 16.From a rectangle 13 cm long and 5 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)?
17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
18. 18.From a rectangle 13 cm long and 7 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)?
19. 19.A square has a perimeter of 36 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
22. 22.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
24. 24.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 ₹)?
25. 25.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
26. 26.From a rectangle 10 cm long and 11 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)?
27. 27.A square has a perimeter of 80 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
29. 29.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 17 cm long and 10 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)?
31. 31.From a rectangle 11 cm long and 6 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)?
32. 32.From a rectangle 19 cm long and 7 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.From a rectangle 20 cm long and 14 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.From a rectangle 6 cm long and 14 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 100 cm and its length is 30 cm. What is its width (in cm)?
39. 39.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?

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