Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 386 · 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.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
2. 2.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
4. 4.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
6. 6.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 8 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A square has a perimeter of 44 cm. What is its area (in square cm)?
9. 9.From a rectangle 15 cm long and 10 cm wide, a rectangle 12 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.From a rectangle 11 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)?
11. 11.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
12. 12.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
15. 15.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
17. 17.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 80 cm and its length is 27 cm. What is its width (in cm)?
20. 20.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 18 cm long and 6 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)?
22. 22.Each side of a square is 21 cm. What is its perimeter (in cm)?
23. 23.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 18 cm long and 12 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
32. 32.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 17 cm long and 14 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
37. 37.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

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