Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 87 · 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 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
3. 3.From a rectangle 11 cm long and 8 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 7 cm long and 15 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
7. 7.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 8 cm long and 5 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)?
9. 9.From a rectangle 10 cm long and 14 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)?
10. 10.A square has a perimeter of 72 cm. What is its area (in square cm)?
11. 11.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 7 cm long and 11 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)?
15. 15.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
17. 17.From a rectangle 20 cm long and 7 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
21. 21.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
23. 23.A square has a perimeter of 60 cm. What is its area (in square cm)?
24. 24.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 80 cm. What is its area (in square cm)?
26. 26.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
30. 30.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.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 ₹)?
32. 32.A wall is 12 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 24 cm. What is its area (in square cm)?
36. 36.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 13 cm long and 7 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A square has a perimeter of 12 cm. What is its area (in square cm)?
39. 39.A square has a perimeter of 68 cm. What is its area (in square cm)?
40. 40.From a rectangle 13 cm long and 15 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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