Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 80 · 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 17 cm long and 13 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
3. 3.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
4. 4.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 7 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)?
6. 6.From a rectangle 14 cm long and 6 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)?
7. 7.From a rectangle 20 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
10. 10.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 19 cm long and 13 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
16. 16.From a rectangle 8 cm long and 14 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.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 ₹)?
20. 20.A square has a perimeter of 8 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
22. 22.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 28 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 64 cm and its length is 27 cm. What is its width (in cm)?
32. 32.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 66 cm and its length is 30 cm. What is its width (in cm)?
36. 36.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
39. 39.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

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