Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 254 · 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 28 cm. What is its area (in square cm)?
2. 2.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 48 cm. What is its area (in square cm)?
5. 5.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
8. 8.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a square is 24 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 19 cm long and 7 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
17. 17.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 16 cm long and 14 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
23. 23.A square has a perimeter of 72 cm. What is its area (in square cm)?
24. 24.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
27. 27.Each side of a square is 21 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 11 cm long and 5 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)?
29. 29.A square has a perimeter of 16 cm. What is its area (in square cm)?
30. 30.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
31. 31.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 24 cm. What is its area (in square cm)?
34. 34.From a rectangle 17 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a square is 5 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
40. 40.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?

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