Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 499 · 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 10 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 16 cm. What is its area (in square cm)?
6. 6.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A square has a perimeter of 52 cm. What is its area (in square cm)?
8. 8.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 ₹)?
9. 9.A square has a perimeter of 76 cm. What is its area (in square cm)?
10. 10.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 12 cm long and 12 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
14. 14.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
17. 17.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 82 cm and its length is 23 cm. What is its width (in cm)?
19. 19.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
21. 21.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 ₹)?
22. 22.From a rectangle 17 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)?
23. 23.A square has a perimeter of 28 cm. What is its area (in square cm)?
24. 24.From a rectangle 20 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 10 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 18 cm long and 15 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
32. 32.A square has a perimeter of 32 cm. What is its area (in square cm)?
33. 33.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
37. 37.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
40. 40.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?

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