Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 276 · 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 octagon is 22 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 17 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
5. 5.From a rectangle 18 cm long and 9 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
7. 7.From a rectangle 17 cm long and 6 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 20 cm long and 14 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)?
10. 10.From a rectangle 9 cm long and 10 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 14 cm long and 14 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 16 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
16. 16.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 7 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
22. 22.From a rectangle 12 cm long and 6 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)?
23. 23.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
25. 25.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
26. 26.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 40 cm. What is its area (in square cm)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
30. 30.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a square is 2 cm. What is its perimeter (in cm)?
32. 32.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
34. 34.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
38. 38.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
40. 40.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?

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