Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 108 · 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 28 cm and its length is 10 cm. What is its width (in cm)?
2. 2.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
4. 4.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 16 cm long and 11 cm wide, a rectangle 14 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
8. 8.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
9. 9.Each side of a square is 2 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
12. 12.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
15. 15.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.The perimeter of a rectangle is 78 cm and its length is 25 cm. What is its width (in cm)?
17. 17.From a rectangle 15 cm long and 6 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
19. 19.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
21. 21.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
24. 24.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 52 cm. What is its area (in square cm)?
27. 27.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 14 cm long and 5 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)?
29. 29.From a rectangle 8 cm long and 10 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
31. 31.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 14 cm long and 7 cm wide, a rectangle 1 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 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
35. 35.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
38. 38.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 44 cm. What is its area (in square cm)?

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