Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 668 · 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 60 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
3. 3.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
4. 4.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
5. 5.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 8 cm long and 13 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.From a rectangle 14 cm long and 6 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 18 cm long and 7 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)?
9. 9.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 6 cm long and 14 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)?
11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 104 cm and its length is 28 cm. What is its width (in cm)?
13. 13.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
15. 15.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
17. 17.From a rectangle 13 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 12 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 28 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
26. 26.From a rectangle 12 cm long and 15 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 12 cm long and 10 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 17 cm long and 5 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)?
33. 33.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 13 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)?
36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
38. 38.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 8 cm. What is its area (in square cm)?
40. 40.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?

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