Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 91 · 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 50 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular octagon is 22 cm. What is its perimeter (in 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 54 cm and its length is 17 cm. What is its width (in cm)?
6. 6.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
12. 12.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
15. 15.From a rectangle 13 cm long and 10 cm wide, a rectangle 11 cm by 1 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 30 cm and its length is 10 cm. What is its width (in cm)?
17. 17.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
19. 19.From a rectangle 19 cm long and 15 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)?
20. 20.From a rectangle 9 cm long and 9 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)?
21. 21.From a rectangle 7 cm long and 10 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 18 cm long and 6 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)?
31. 31.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
32. 32.Each side of a square is 24 cm. What is its perimeter (in cm)?
33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
34. 34.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 8 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
40. 40.From a rectangle 14 cm long and 8 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)?

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