Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 287 · 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 70 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
5. 5.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 44 cm. What is its area (in square cm)?
7. 7.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
9. 9.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 15 cm long and 15 cm wide, a rectangle 10 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A wall is 10 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
16. 16.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 ₹)?
17. 17.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
19. 19.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
22. 22.From a rectangle 16 cm long and 12 cm wide, a rectangle 9 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 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
30. 30.From a rectangle 10 cm long and 14 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
33. 33.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
34. 34.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
36. 36.From a rectangle 7 cm long and 9 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a square is 12 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 32 cm. What is its area (in square cm)?
39. 39.From a rectangle 6 cm long and 9 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)?
40. 40.A square has a perimeter of 8 cm. What is its area (in square cm)?

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