Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 619 · 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 55 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a square is 2 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 18 cm long and 7 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 7 cm long and 9 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)?
12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
13. 13.A square has a perimeter of 36 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
15. 15.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 28 cm. What is its area (in square cm)?
17. 17.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
19. 19.From a rectangle 12 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 an equilateral triangle is 20 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 12 cm long and 9 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 16 cm long and 7 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a square is 5 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 44 cm. What is its area (in square cm)?
26. 26.From a rectangle 16 cm long and 13 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 10 cm long and 15 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.From a rectangle 11 cm long and 12 cm wide, a rectangle 8 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.The perimeter of a rectangle is 84 cm and its length is 23 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 72 cm and its length is 24 cm. What is its width (in cm)?
32. 32.From a rectangle 7 cm long and 14 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
37. 37.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.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 ₹)?

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