Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 88 · 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 9 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
3. 3.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A square has a perimeter of 76 cm. What is its area (in square cm)?
5. 5.From a rectangle 11 cm long and 13 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 17 cm long and 13 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 68 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
14. 14.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
21. 21.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
25. 25.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 72 cm. What is its area (in square cm)?
28. 28.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
29. 29.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
33. 33.From a rectangle 9 cm long and 12 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A wall is 8 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
40. 40.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?

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