Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 465 · 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.From a rectangle 13 cm long and 15 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)?
2. 2.The perimeter of a rectangle is 78 cm and its length is 25 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
4. 4.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
7. 7.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 19 cm long and 5 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)?
9. 9.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
10. 10.Each side of a square is 15 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 56 cm and its length is 19 cm. What is its width (in cm)?
12. 12.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.A square has a perimeter of 60 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
16. 16.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
18. 18.From a rectangle 9 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
22. 22.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 8 cm. What is its area (in square cm)?
26. 26.Each side of a square is 11 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
31. 31.From a rectangle 16 cm long and 7 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)?
32. 32.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
33. 33.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a square is 8 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
39. 39.From a rectangle 15 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)?
40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

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