Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 575 · 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 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.From a rectangle 7 cm long and 15 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)?
3. 3.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
5. 5.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
6. 6.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 72 cm. What is its area (in square cm)?
10. 10.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
19. 19.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
21. 21.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
22. 22.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
23. 23.Each side of a square is 15 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
26. 26.From a rectangle 8 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 17 cm long and 7 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)?
28. 28.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?
31. 31.A wall is 7 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
33. 33.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.From a rectangle 12 cm long and 12 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
38. 38.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 12 cm long and 6 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?

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