Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 151 · 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.From a rectangle 6 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
3. 3.From a rectangle 16 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 68 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
6. 6.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.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 ₹)?
8. 8.From a rectangle 13 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)?
9. 9.Each side of a square is 21 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 9 cm long and 8 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)?
11. 11.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
13. 13.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.From a rectangle 16 cm long and 9 cm wide, a rectangle 1 cm by 4 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 66 cm and its length is 25 cm. What is its width (in cm)?
17. 17.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
18. 18.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
21. 21.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 8 cm. What is its area (in square cm)?
23. 23.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 76 cm. What is its area (in square cm)?
25. 25.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 20 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 12 cm. What is its area (in square cm)?
30. 30.A square has a perimeter of 16 cm. What is its area (in square cm)?
31. 31.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 15 cm long and 13 cm wide, a rectangle 4 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 17 cm long and 14 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 16 cm long and 9 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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