Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 615 · 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 24 cm. What is its area (in square cm)?
3. 3.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.From a rectangle 8 cm long and 10 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
9. 9.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 17 cm long and 14 cm wide, a rectangle 7 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 14 cm long and 14 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.From a rectangle 6 cm long and 5 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)?
17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
18. 18.From a rectangle 16 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of a square is 5 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
23. 23.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 19 cm long and 6 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)?
25. 25.A square has a perimeter of 52 cm. What is its area (in square cm)?
26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
27. 27.Each side of a square is 6 cm. What is its perimeter (in cm)?
28. 28.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 10 cm long and 14 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 64 cm. What is its area (in square cm)?
32. 32.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 15 cm long and 6 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)?
37. 37.From a rectangle 17 cm long and 10 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.From a rectangle 13 cm long and 6 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?

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