Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 490 · 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 28 cm. What is its area (in square cm)?
2. 2.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 7 cm long and 8 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)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 16 cm long and 10 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)?
6. 6.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 11 cm long and 13 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 48 cm. What is its area (in square cm)?
12. 12.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a square is 8 cm. What is its perimeter (in cm)?
15. 15.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 40 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
20. 20.From a rectangle 14 cm long and 8 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)?
21. 21.From a rectangle 17 cm long and 9 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)?
22. 22.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
24. 24.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 14 cm long and 10 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.From a rectangle 20 cm long and 13 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.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 ₹)?
29. 29.From a rectangle 8 cm long and 7 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)?
30. 30.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
33. 33.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
35. 35.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 20 cm long and 9 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 52 cm. What is its area (in square cm)?
38. 38.From a rectangle 7 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)?
39. 39.From a rectangle 8 cm long and 13 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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