Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 315 · 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 20 cm long and 9 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.From a rectangle 16 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 52 cm. What is its area (in square cm)?
5. 5.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 8 cm long and 13 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)?
8. 8.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 20 cm long and 15 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 10 cm long and 13 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)?
12. 12.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
15. 15.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
16. 16.Each side of a square is 6 cm. What is its perimeter (in cm)?
17. 17.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
18. 18.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
25. 25.A square has a perimeter of 44 cm. What is its area (in square cm)?
26. 26.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 94 cm and its length is 30 cm. What is its width (in cm)?
28. 28.A wall is 11 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 7 cm long and 11 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
35. 35.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 80 cm. What is its area (in square cm)?
37. 37.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 7 cm long and 12 cm wide, a rectangle 2 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 28 cm. What is its area (in square cm)?
40. 40.From a rectangle 7 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)?

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