Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 8 · 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.A square has a perimeter of 36 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
3. 3.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 80 cm and its length is 26 cm. What is its width (in cm)?
6. 6.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
8. 8.From a rectangle 17 cm long and 10 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
10. 10.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.The perimeter of a rectangle is 106 cm and its length is 27 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
13. 13.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 17 cm long and 15 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)?
17. 17.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 28 cm. What is its area (in square cm)?
21. 21.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a square is 9 cm. What is its perimeter (in cm)?
23. 23.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A square has a perimeter of 52 cm. What is its area (in square cm)?
25. 25.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 10 cm long and 7 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)?
27. 27.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
29. 29.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A square has a perimeter of 56 cm. What is its area (in square cm)?
31. 31.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 62 cm and its length is 27 cm. What is its width (in cm)?
33. 33.From a rectangle 6 cm long and 5 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)?
34. 34.A square has a perimeter of 68 cm. What is its area (in square cm)?
35. 35.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
38. 38.From a rectangle 17 cm long and 9 cm wide, a rectangle 12 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 55 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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