Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 460 · 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.The perimeter of a rectangle is 70 cm and its length is 23 cm. What is its width (in cm)?
2. 2.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
3. 3.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
9. 9.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
13. 13.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
18. 18.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.From a rectangle 9 cm long and 8 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)?
23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
24. 24.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
29. 29.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 20 cm long and 12 cm wide, a rectangle 12 cm by 6 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 octagon is 21 cm. What is its perimeter (in cm)?
32. 32.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
34. 34.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
37. 37.From a rectangle 13 cm long and 12 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?

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