Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 218 · 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 65 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.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 ₹)?
3. 3.A square has a perimeter of 64 cm. What is its area (in square cm)?
4. 4.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 6 cm long and 10 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)?
6. 6.Each side of a square is 3 cm. What is its perimeter (in cm)?
7. 7.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 10 cm long and 8 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)?
10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 36 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
13. 13.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 12 cm long and 11 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.From a rectangle 14 cm long and 8 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)?
17. 17.From a rectangle 18 cm long and 11 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 52 cm. What is its area (in square cm)?
19. 19.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a square is 12 cm. What is its perimeter (in cm)?
21. 21.Each side of a square is 5 cm. What is its perimeter (in cm)?
22. 22.Each side of a square is 18 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
24. 24.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 11 cm long and 14 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)?
26. 26.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
29. 29.From a rectangle 19 cm long and 12 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)?
30. 30.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 17 cm long and 14 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)?
40. 40.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?

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