Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 425 · 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 60 cm. What is its area (in square cm)?
2. 2.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 11 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)?
4. 4.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 17 cm long and 11 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 24 cm. What is its area (in square cm)?
9. 9.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
10. 10.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
12. 12.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.From a rectangle 6 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
19. 19.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 11 cm long and 13 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
24. 24.From a rectangle 18 cm long and 7 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 10 cm long and 10 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
28. 28.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
30. 30.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 8 cm long and 7 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.From a rectangle 15 cm long and 5 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 19 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
38. 38.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
39. 39.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?

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