Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 14 · 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 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
3. 3.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
5. 5.From a rectangle 13 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 11 cm long and 14 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)?
7. 7.From a rectangle 20 cm long and 7 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)?
8. 8.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 19 cm long and 15 cm wide, a rectangle 13 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 19 cm long and 6 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 52 cm. What is its area (in square cm)?
16. 16.Each side of a square is 17 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 6 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
22. 22.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
24. 24.From a rectangle 14 cm long and 6 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)?
25. 25.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
27. 27.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
29. 29.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
31. 31.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 44 cm. What is its area (in square cm)?
34. 34.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a square is 21 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 80 cm. What is its area (in square cm)?
39. 39.From a rectangle 7 cm long and 12 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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