Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 568 · 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 16 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
4. 4.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 78 cm and its length is 25 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
9. 9.A wall is 4 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
11. 11.Each side of a square is 9 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
15. 15.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
19. 19.Each side of a square is 15 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 6 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
23. 23.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A wall is 7 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.From a rectangle 9 cm long and 13 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
29. 29.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
31. 31.From a rectangle 12 cm long and 13 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
33. 33.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A square has a perimeter of 68 cm. What is its area (in square cm)?
36. 36.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 76 cm. What is its area (in square cm)?
38. 38.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
39. 39.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?

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