Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 111 · 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 32 cm. What is its area (in square cm)?
2. 2.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 28 cm. What is its area (in square cm)?
4. 4.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
6. 6.A wall is 6 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 52 cm. What is its area (in square cm)?
9. 9.From a rectangle 9 cm long and 9 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A square has a perimeter of 12 cm. What is its area (in square cm)?
11. 11.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.From a rectangle 11 cm long and 12 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 16 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
17. 17.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 56 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 86 cm and its length is 22 cm. What is its width (in cm)?
20. 20.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
29. 29.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 17 cm long and 8 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 20 cm long and 11 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
37. 37.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
39. 39.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 19 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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