Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 516 · 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 an equilateral triangle is 2 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
3. 3.From a rectangle 10 cm long and 11 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)?
4. 4.From a rectangle 8 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
8. 8.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
10. 10.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
12. 12.From a rectangle 18 cm long and 7 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
16. 16.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 8 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
19. 19.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
20. 20.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
23. 23.A wall is 6 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 40 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
27. 27.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
31. 31.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 11 cm long and 11 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
36. 36.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 20 cm long and 7 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 12 cm long and 14 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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