Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 521 · 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 8 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 76 cm. What is its area (in square cm)?
3. 3.From a rectangle 7 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A wall is 9 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
7. 7.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
11. 11.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.From a rectangle 18 cm long and 7 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
18. 18.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a square is 6 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
27. 27.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
31. 31.From a rectangle 9 cm long and 14 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 11 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 7 cm long and 10 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)?
34. 34.Each side of a square is 8 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 18 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
38. 38.Each side of a square is 15 cm. What is its perimeter (in cm)?
39. 39.A wall is 11 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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