Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 103 · 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 wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 7 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a square is 6 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
7. 7.From a rectangle 9 cm long and 14 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
9. 9.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
11. 11.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
13. 13.A square has a perimeter of 72 cm. What is its area (in square cm)?
14. 14.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 10 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 12 cm. What is its area (in square cm)?
18. 18.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
21. 21.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
29. 29.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
30. 30.Each side of a square is 3 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
32. 32.From a rectangle 7 cm long and 10 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 14 cm long and 12 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)?
35. 35.From a rectangle 13 cm long and 5 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)?
36. 36.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
40. 40.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 ₹)?

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