Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 462 · 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.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
2. 2.From a rectangle 16 cm long and 5 cm wide, a rectangle 6 cm by 3 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 18 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
5. 5.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
6. 6.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 ₹)?
7. 7.A square has a perimeter of 32 cm. What is its area (in square cm)?
8. 8.A wall is 12 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 3 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
12. 12.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
14. 14.From a rectangle 15 cm long and 15 cm wide, a rectangle 7 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 18 cm long and 12 cm wide, a rectangle 1 cm by 2 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 48 cm. What is its area (in square cm)?
17. 17.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
19. 19.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 15 cm long and 7 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
22. 22.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 74 cm and its length is 27 cm. What is its width (in cm)?
24. 24.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
25. 25.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
29. 29.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 52 cm. What is its area (in square cm)?
32. 32.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 80 cm. What is its area (in square cm)?
34. 34.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
36. 36.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.From a rectangle 13 cm long and 14 cm wide, a rectangle 9 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A square has a perimeter of 20 cm. What is its area (in square cm)?
39. 39.From a rectangle 16 cm long and 9 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)?
40. 40.Each side of a square is 21 cm. What is its perimeter (in cm)?

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