Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 247 · 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 60 cm. What is its area (in square cm)?
2. 2.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
5. 5.The perimeter of a rectangle is 64 cm and its length is 21 cm. What is its width (in cm)?
6. 6.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
8. 8.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a square is 7 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
11. 11.From a rectangle 10 cm long and 8 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)?
12. 12.From a rectangle 18 cm long and 13 cm wide, a rectangle 13 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 11 cm long and 5 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 17 cm long and 13 cm wide, a rectangle 15 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 66 cm and its length is 28 cm. What is its width (in cm)?
19. 19.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
21. 21.Each side of a square is 11 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
23. 23.From a rectangle 18 cm long and 12 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.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 ₹)?
25. 25.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
28. 28.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
29. 29.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
31. 31.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
32. 32.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 18 cm long and 15 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 10 cm long and 8 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?

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