Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 475 · 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.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
2. 2.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 72 cm. What is its area (in square cm)?
4. 4.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
6. 6.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
8. 8.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 8 cm. What is its area (in square cm)?
12. 12.From a rectangle 6 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)?
13. 13.From a rectangle 7 cm long and 15 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 74 cm and its length is 25 cm. What is its width (in cm)?
15. 15.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a square is 19 cm. What is its perimeter (in cm)?
19. 19.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 17 cm long and 8 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 16 cm long and 13 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
25. 25.Each side of a square is 23 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
27. 27.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 64 cm and its length is 20 cm. What is its width (in cm)?
30. 30.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
31. 31.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 35 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 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 20 cm long and 5 cm wide, a rectangle 17 cm by 1 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 pentagon is 23 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
38. 38.From a rectangle 19 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 10 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)?
40. 40.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

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