Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 70 · 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 76 cm. What is its area (in square cm)?
2. 2.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
5. 5.Each side of a square is 9 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
7. 7.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
8. 8.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 7 cm long and 8 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
12. 12.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
14. 14.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
16. 16.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
18. 18.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
21. 21.Each side of a square is 18 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 6 cm long and 9 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)?
23. 23.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.From a rectangle 20 cm long and 9 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)?
27. 27.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 32 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 44 cm. What is its area (in square cm)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.A square has a perimeter of 80 cm. What is its area (in square cm)?
32. 32.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
37. 37.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?

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