Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 434 · 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.From a rectangle 16 cm long and 11 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)?
2. 2.A square has a perimeter of 80 cm. What is its area (in square cm)?
3. 3.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
5. 5.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
6. 6.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a square is 9 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 8 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.From a rectangle 17 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
12. 12.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 17 cm long and 12 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
15. 15.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
17. 17.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 8 cm long and 7 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
21. 21.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.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 ₹)?
24. 24.From a rectangle 14 cm long and 12 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A square has a perimeter of 40 cm. What is its area (in square cm)?
26. 26.From a rectangle 11 cm long and 12 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)?
27. 27.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 25 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 56 cm. What is its area (in square cm)?
30. 30.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A square has a perimeter of 64 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
36. 36.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
37. 37.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

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