Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 16 · 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.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 7 cm long and 11 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)?
4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
5. 5.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 6 cm long and 11 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)?
7. 7.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 80 cm. What is its area (in square cm)?
9. 9.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
11. 11.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
15. 15.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 14 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
19. 19.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
21. 21.From a rectangle 15 cm long and 8 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)?
22. 22.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
24. 24.From a rectangle 16 cm long and 8 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
26. 26.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 ₹)?
27. 27.From a rectangle 16 cm long and 10 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
30. 30.From a rectangle 6 cm long and 7 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)?
31. 31.A square has a perimeter of 52 cm. What is its area (in square cm)?
32. 32.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
35. 35.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
37. 37.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
40. 40.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

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