Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 131 · 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.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
4. 4.From a rectangle 14 cm long and 14 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 14 cm long and 14 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 8 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A square has a perimeter of 40 cm. What is its area (in square cm)?
9. 9.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
11. 11.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 ₹)?
12. 12.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
13. 13.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
17. 17.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
19. 19.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 7 cm long and 14 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 14 cm long and 5 cm wide, a rectangle 7 cm by 3 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 18 cm. What is its perimeter (in cm)?
23. 23.Each side of a square is 16 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 12 cm long and 11 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.From a rectangle 19 cm long and 9 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.The perimeter of a rectangle is 74 cm and its length is 26 cm. What is its width (in cm)?
30. 30.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 72 cm. What is its area (in square cm)?
33. 33.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
36. 36.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
39. 39.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?

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