Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 707 · 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 an equilateral triangle is 6 cm. What is its perimeter (in cm)?
2. 2.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
3. 3.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 ₹)?
4. 4.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
5. 5.Each side of a square is 15 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
7. 7.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
10. 10.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
14. 14.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
16. 16.From a rectangle 14 cm long and 5 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)?
17. 17.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
19. 19.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
24. 24.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.From a rectangle 19 cm long and 15 cm wide, a rectangle 2 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 17 cm long and 7 cm wide, a rectangle 14 cm by 2 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 62 cm and its length is 19 cm. What is its width (in cm)?
30. 30.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
32. 32.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
36. 36.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 72 cm. What is its area (in square cm)?

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