Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 52 · 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 pentagon is 4 cm. What is its perimeter (in cm)?
2. 2.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 14 cm long and 15 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)?
5. 5.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
6. 6.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
7. 7.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
10. 10.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 114 cm and its length is 29 cm. What is its width (in cm)?
13. 13.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 12 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)?
16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
17. 17.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 10 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
21. 21.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
22. 22.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
23. 23.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
26. 26.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
30. 30.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 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 13 cm long and 11 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)?
33. 33.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
34. 34.A square has a perimeter of 80 cm. What is its area (in square cm)?
35. 35.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 17 cm long and 12 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.The perimeter of a rectangle is 80 cm and its length is 25 cm. What is its width (in cm)?
38. 38.From a rectangle 19 cm long and 14 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 8 cm. What is its area (in square cm)?
40. 40.Each side of a square is 2 cm. What is its perimeter (in cm)?

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