Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 310 · 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.From a rectangle 18 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)?
2. 2.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 16 cm long and 14 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)?
5. 5.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 8 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 86 cm and its length is 27 cm. What is its width (in cm)?
8. 8.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.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 ₹)?
10. 10.A square has a perimeter of 48 cm. What is its area (in square cm)?
11. 11.From a rectangle 10 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.The perimeter of a rectangle is 104 cm and its length is 30 cm. What is its width (in cm)?
14. 14.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
17. 17.Each side of a square is 14 cm. What is its perimeter (in cm)?
18. 18.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.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 ₹)?
20. 20.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
22. 22.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.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 ₹)?
29. 29.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 17 cm long and 15 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)?
31. 31.Each side of a square is 18 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 76 cm and its length is 23 cm. What is its width (in cm)?
33. 33.From a rectangle 13 cm long and 9 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a square is 3 cm. What is its perimeter (in cm)?
36. 36.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 80 cm. What is its area (in square cm)?
38. 38.From a rectangle 8 cm long and 15 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
40. 40.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

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