Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 250 · 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 24 cm and its length is 7 cm. What is its width (in cm)?
2. 2.A wall is 12 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 44 cm. What is its area (in square cm)?
6. 6.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
8. 8.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
10. 10.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 76 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
16. 16.Each side of a square is 11 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 40 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
20. 20.From a rectangle 16 cm long and 9 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A square has a perimeter of 8 cm. What is its area (in square cm)?
22. 22.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
25. 25.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
27. 27.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 20 cm long and 12 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.Each side of a square is 24 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
33. 33.From a rectangle 6 cm long and 6 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)?
34. 34.A wall is 10 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 9 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
39. 39.A square has a perimeter of 68 cm. What is its area (in square cm)?
40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

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