Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 53 · 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.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
6. 6.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
7. 7.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 ₹)?
8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
9. 9.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 16 cm long and 5 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)?
13. 13.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.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 ₹)?
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 50 cm and its length is 16 cm. What is its width (in cm)?
18. 18.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.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 ₹)?
20. 20.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
22. 22.From a rectangle 12 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of a square is 7 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 36 cm. What is its area (in square cm)?
26. 26.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 17 cm long and 10 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
29. 29.A square has a perimeter of 52 cm. What is its area (in square cm)?
30. 30.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 20 cm. What is its area (in square cm)?
34. 34.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 13 cm long and 14 cm wide, a rectangle 4 cm by 12 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 72 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
39. 39.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 76 cm. What is its area (in square cm)?

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