Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 202 · 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 rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 11 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A wall is 12 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 9 cm long and 15 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 68 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 52 cm. What is its area (in square cm)?
8. 8.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 10 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 7 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 48 cm. What is its area (in square cm)?
12. 12.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 19 cm long and 12 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A square has a perimeter of 76 cm. What is its area (in square cm)?
15. 15.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
19. 19.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
21. 21.From a rectangle 7 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
23. 23.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 19 cm long and 13 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 74 cm and its length is 30 cm. What is its width (in cm)?
27. 27.From a rectangle 13 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 11 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A square has a perimeter of 60 cm. What is its area (in square cm)?
32. 32.From a rectangle 19 cm long and 13 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
34. 34.From a rectangle 20 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 15 cm long and 8 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.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 ₹)?
38. 38.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 8 cm long and 14 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)?
40. 40.From a rectangle 11 cm long and 11 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)?

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