Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 546 · 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 56 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 52 cm. What is its area (in square cm)?
3. 3.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
7. 7.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 6 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 76 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
14. 14.From a rectangle 9 cm long and 15 cm wide, a rectangle 1 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A square has a perimeter of 36 cm. What is its area (in square cm)?
16. 16.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
18. 18.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
20. 20.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
22. 22.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
24. 24.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
25. 25.Each side of a square is 4 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
27. 27.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
28. 28.A square has a perimeter of 40 cm. What is its area (in square cm)?
29. 29.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
32. 32.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
34. 34.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 19 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.From a rectangle 17 cm long and 8 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
40. 40.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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