Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 339 · 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 wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 32 cm. What is its area (in square cm)?
4. 4.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
6. 6.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
7. 7.Each side of a square is 20 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
10. 10.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a square is 8 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
13. 13.Each side of a square is 21 cm. What is its perimeter (in cm)?
14. 14.Each side of a square is 17 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 72 cm. What is its area (in square cm)?
16. 16.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 13 cm long and 8 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)?
18. 18.A square has a perimeter of 76 cm. What is its area (in square cm)?
19. 19.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
21. 21.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 16 cm long and 14 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 13 cm long and 9 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
25. 25.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
28. 28.Each side of a square is 22 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 70 cm and its length is 25 cm. What is its width (in cm)?
30. 30.The perimeter of a rectangle is 78 cm and its length is 20 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
32. 32.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 14 cm long and 13 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.From a rectangle 19 cm long and 14 cm wide, a rectangle 1 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
37. 37.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 11 cm long and 13 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 68 cm. What is its area (in square cm)?

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