Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 240 · 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 95 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
6. 6.From a rectangle 8 cm long and 6 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)?
7. 7.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 20 cm long and 13 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
11. 11.From a rectangle 13 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 16 cm. What is its area (in square cm)?
14. 14.From a rectangle 6 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)?
15. 15.A square has a perimeter of 40 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
17. 17.From a rectangle 6 cm long and 5 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)?
18. 18.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
21. 21.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 6 cm long and 13 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)?
23. 23.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 15 cm long and 12 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A wall is 5 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.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 ₹)?
32. 32.A square has a perimeter of 8 cm. What is its area (in square cm)?
33. 33.Each side of a square is 3 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 20 cm long and 15 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)?
35. 35.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
39. 39.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?

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