Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 545 · 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.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 19 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.Each side of a square is 2 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 94 cm and its length is 29 cm. What is its width (in cm)?
7. 7.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
8. 8.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in 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 16 cm. What is its area (in square cm)?
13. 13.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 ₹)?
14. 14.From a rectangle 9 cm long and 9 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)?
15. 15.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 19 cm long and 8 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A square has a perimeter of 72 cm. What is its area (in square cm)?
18. 18.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 68 cm. What is its area (in square cm)?
23. 23.From a rectangle 14 cm long and 15 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)?
24. 24.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 28 cm. What is its area (in square cm)?
26. 26.A wall is 9 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 64 cm and its length is 17 cm. What is its width (in cm)?
29. 29.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 12 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 20 cm long and 7 cm wide, a rectangle 18 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 20 cm. What is its area (in square cm)?
35. 35.A wall is 10 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 17 cm long and 15 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
39. 39.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?

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