Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 114 · 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.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
2. 2.Each side of a square is 9 cm. What is its perimeter (in cm)?
3. 3.Each side of a square is 23 cm. What is its perimeter (in cm)?
4. 4.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 7 cm long and 9 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 40 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
10. 10.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a square is 14 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
16. 16.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 14 cm long and 14 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)?
19. 19.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
21. 21.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
23. 23.Each side of a square is 21 cm. What is its perimeter (in cm)?
24. 24.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 19 cm long and 12 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A wall is 11 m long and 6 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 36 cm and its length is 15 cm. What is its width (in cm)?
28. 28.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 10 cm long and 15 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A square has a perimeter of 24 cm. What is its area (in square cm)?
32. 32.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 20 cm. What is its area (in square cm)?
35. 35.A square has a perimeter of 52 cm. What is its area (in square cm)?
36. 36.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
37. 37.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 15 cm long and 13 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?

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