Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 196 · 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 a regular hexagon is 7 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 72 cm. What is its area (in square cm)?
5. 5.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 16 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.From a rectangle 11 cm long and 7 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)?
10. 10.From a rectangle 8 cm long and 7 cm wide, a rectangle 2 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 8 cm long and 7 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)?
12. 12.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
13. 13.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
14. 14.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 18 cm long and 9 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)?
18. 18.From a rectangle 8 cm long and 12 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)?
19. 19.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 9 cm long and 14 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 18 cm long and 8 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
27. 27.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a square is 22 cm. What is its perimeter (in cm)?
29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
30. 30.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 60 cm and its length is 20 cm. What is its width (in cm)?
35. 35.From a rectangle 19 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
37. 37.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
40. 40.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

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