Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 107 · 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 rectangular field is 45 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 24 cm. What is its area (in square cm)?
4. 4.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
5. 5.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 11 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 9 cm long and 11 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 4 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 32 cm. What is its area (in square cm)?
14. 14.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 ₹)?
15. 15.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 18 cm long and 15 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
20. 20.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 11 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)?
22. 22.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
24. 24.From a rectangle 9 cm long and 8 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)?
25. 25.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
27. 27.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.From a rectangle 19 cm long and 11 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
35. 35.From a rectangle 10 cm long and 9 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)?
36. 36.From a rectangle 9 cm long and 15 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)?
37. 37.A square has a perimeter of 80 cm. What is its area (in square cm)?
38. 38.A square has a perimeter of 56 cm. What is its area (in square cm)?
39. 39.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 15 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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