Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 578 · 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 square is 20 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 19 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
4. 4.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
7. 7.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 36 cm. What is its area (in square cm)?
9. 9.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
11. 11.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
14. 14.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 6 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 9 cm long and 8 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
22. 22.From a rectangle 8 cm long and 9 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
24. 24.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 6 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
27. 27.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
29. 29.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
31. 31.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 13 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
34. 34.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 6 cm long and 10 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)?
37. 37.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a square is 24 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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