Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 159 · 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 wall is 11 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
7. 7.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a square is 9 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 19 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
14. 14.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 6 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 60 cm. What is its area (in square cm)?
22. 22.A square has a perimeter of 32 cm. What is its area (in square cm)?
23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
24. 24.From a rectangle 19 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
26. 26.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 17 cm long and 6 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)?
29. 29.From a rectangle 20 cm long and 8 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 80 cm. What is its area (in square cm)?
32. 32.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
34. 34.From a rectangle 12 cm long and 14 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
36. 36.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
37. 37.Each side of a square is 13 cm. What is its perimeter (in cm)?
38. 38.Each side of a square is 7 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?

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