Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 396 · 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 21 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
3. 3.From a rectangle 12 cm long and 7 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 60 cm. What is its area (in square cm)?
7. 7.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
11. 11.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
14. 14.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.From a rectangle 19 cm long and 6 cm wide, a rectangle 16 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.From a rectangle 19 cm long and 13 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a square is 3 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 13 cm long and 14 cm wide, a rectangle 8 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
23. 23.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 ₹)?
24. 24.A square has a perimeter of 44 cm. What is its area (in square cm)?
25. 25.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 72 cm and its length is 29 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
28. 28.From a rectangle 19 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
30. 30.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
31. 31.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 4 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 11 cm long and 12 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 36 cm. What is its area (in square cm)?
38. 38.From a rectangle 20 cm long and 11 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 8 cm long and 7 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 76 cm. What is its area (in square cm)?

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