Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 614 · 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.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
2. 2.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a square is 12 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 40 cm. What is its area (in square cm)?
5. 5.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 8 cm. What is its area (in square cm)?
7. 7.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A square has a perimeter of 36 cm. What is its area (in square cm)?
10. 10.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
13. 13.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
15. 15.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 20 cm long and 8 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 20 cm long and 11 cm wide, a rectangle 15 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 20 cm long and 6 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)?
23. 23.From a rectangle 8 cm long and 15 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 20 cm. What is its area (in square cm)?
27. 27.From a rectangle 10 cm long and 12 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)?
28. 28.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 12 cm long and 12 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
33. 33.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 7 cm long and 15 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)?
35. 35.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
38. 38.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 ₹)?
39. 39.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
40. 40.From a rectangle 12 cm long and 11 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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