Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 98 · 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 62 cm and its length is 26 cm. What is its width (in cm)?
2. 2.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 64 cm. What is its area (in square cm)?
4. 4.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
6. 6.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 13 cm long and 10 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)?
17. 17.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
19. 19.Each side of a square is 4 cm. What is its perimeter (in cm)?
20. 20.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
23. 23.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 24 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
27. 27.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 10 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
31. 31.A wall is 9 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
36. 36.Each side of a square is 18 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
38. 38.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
40. 40.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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