Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 243 · 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 40 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.Each side of a square is 17 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
5. 5.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 60 cm. What is its area (in square cm)?
8. 8.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
9. 9.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 17 cm long and 9 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A wall is 8 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
13. 13.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
16. 16.From a rectangle 17 cm long and 8 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)?
17. 17.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
21. 21.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
23. 23.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
28. 28.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.From a rectangle 17 cm long and 7 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 12 cm long and 14 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A square has a perimeter of 44 cm. What is its area (in square cm)?
32. 32.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
33. 33.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 17 cm long and 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
37. 37.Each side of a square is 22 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
39. 39.A square has a perimeter of 36 cm. What is its area (in square cm)?
40. 40.From a rectangle 10 cm long and 5 cm wide, a rectangle 6 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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