Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 312 · 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 70 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 76 cm. What is its area (in square cm)?
3. 3.From a rectangle 14 cm long and 10 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 16 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)?
11. 11.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
14. 14.From a rectangle 12 cm long and 9 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A wall is 5 m long and 2 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 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.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 ₹)?
18. 18.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 9 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)?
22. 22.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 12 cm. What is its area (in square cm)?
26. 26.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
28. 28.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 10 cm long and 13 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.Each side of a square is 19 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 60 cm. What is its area (in square cm)?
33. 33.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 90 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.From a rectangle 16 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 6 cm long and 13 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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