Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 498 · 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 76 cm. What is its area (in square cm)?
2. 2.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
6. 6.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
7. 7.Each side of a square is 17 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
9. 9.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 12 cm long and 7 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)?
12. 12.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
13. 13.From a rectangle 9 cm long and 6 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)?
14. 14.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 72 cm and its length is 22 cm. What is its width (in cm)?
18. 18.From a rectangle 11 cm long and 9 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
22. 22.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 80 cm. What is its area (in square cm)?
26. 26.A square has a perimeter of 20 cm. What is its area (in square cm)?
27. 27.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
29. 29.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 17 cm long and 5 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 68 cm. What is its area (in square cm)?
33. 33.Each side of a square is 18 cm. What is its perimeter (in cm)?
34. 34.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 10 cm long and 5 cm wide, a rectangle 6 cm by 2 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 52 cm. What is its area (in square cm)?
40. 40.A wall is 8 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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