Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 43 · 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 44 cm. What is its area (in square cm)?
2. 2.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
4. 4.Each side of a square is 19 cm. What is its perimeter (in cm)?
5. 5.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
6. 6.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
7. 7.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 36 cm. What is its area (in square cm)?
10. 10.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
12. 12.From a rectangle 12 cm long and 15 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
17. 17.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
21. 21.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 14 cm long and 8 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 18 cm long and 8 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a square is 12 cm. What is its perimeter (in cm)?
28. 28.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
29. 29.Each side of a square is 24 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.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)?
34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
36. 36.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 19 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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