Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 121 · 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 50 cm and its length is 20 cm. What is its width (in cm)?
2. 2.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
6. 6.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 19 cm long and 12 cm wide, a rectangle 15 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 7 cm long and 10 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a square is 15 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 6 cm long and 5 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.From a rectangle 18 cm long and 7 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 13 cm long and 11 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
15. 15.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
18. 18.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 60 cm. What is its area (in square cm)?
21. 21.From a rectangle 7 cm long and 6 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)?
22. 22.Each side of a square is 21 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.From a rectangle 12 cm long and 7 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)?
25. 25.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
28. 28.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 14 cm long and 14 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)?
31. 31.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
33. 33.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 76 cm. What is its area (in square cm)?
35. 35.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
37. 37.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a square is 23 cm. What is its perimeter (in cm)?
39. 39.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?

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