Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 67 · 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 square has a perimeter of 48 cm. What is its area (in square cm)?
2. 2.From a rectangle 20 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
4. 4.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 18 cm long and 8 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)?
6. 6.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
7. 7.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 ₹)?
8. 8.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 17 cm long and 6 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
14. 14.Each side of a square is 25 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 16 cm long and 15 cm wide, a rectangle 8 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a square is 10 cm. What is its perimeter (in cm)?
22. 22.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
25. 25.Each side of a square is 2 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 20 cm long and 12 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 10 cm long and 14 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
31. 31.From a rectangle 20 cm long and 11 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 8 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
36. 36.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?

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