Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 500 · 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 55 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 68 cm. What is its area (in square cm)?
3. 3.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 ₹)?
4. 4.From a rectangle 16 cm long and 13 cm wide, a rectangle 14 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a square is 15 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
7. 7.From a rectangle 13 cm long and 10 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 10 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 15 cm long and 12 cm wide, a rectangle 11 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
15. 15.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
19. 19.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
20. 20.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a square is 25 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 12 cm. What is its area (in square cm)?
23. 23.A wall is 11 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
27. 27.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
29. 29.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
31. 31.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
32. 32.From a rectangle 20 cm long and 9 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
35. 35.Each side of a square is 9 cm. What is its perimeter (in cm)?
36. 36.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 96 cm and its length is 27 cm. What is its width (in cm)?
39. 39.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 7 cm long and 6 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)?

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