Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 451 · 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 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 20 cm. What is its area (in square cm)?
3. 3.From a rectangle 14 cm long and 11 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 9 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
8. 8.Each side of a square is 12 cm. What is its perimeter (in cm)?
9. 9.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 ₹)?
10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 36 cm. What is its area (in square cm)?
12. 12.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 19 cm long and 14 cm wide, a rectangle 14 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 17 cm long and 9 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)?
18. 18.From a rectangle 13 cm long and 13 cm wide, a rectangle 11 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of a square is 16 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
21. 21.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
23. 23.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 18 cm long and 6 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)?
25. 25.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A square has a perimeter of 44 cm. What is its area (in square cm)?
27. 27.From a rectangle 16 cm long and 12 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.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 ₹)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 11 cm long and 10 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
33. 33.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
36. 36.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
37. 37.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 4 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 80 cm. What is its area (in square cm)?
39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
40. 40.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?

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