Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 163 · 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 octagon is 14 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 10 cm long and 8 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)?
3. 3.From a rectangle 7 cm long and 14 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 68 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
6. 6.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 36 cm. What is its area (in square cm)?
8. 8.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
9. 9.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
10. 10.A wall is 9 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
12. 12.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
15. 15.From a rectangle 16 cm long and 5 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)?
16. 16.From a rectangle 19 cm long and 13 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)?
17. 17.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
19. 19.From a rectangle 19 cm long and 14 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
21. 21.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 8 cm long and 13 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 8 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
29. 29.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 ₹)?
30. 30.From a rectangle 20 cm long and 12 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)?
31. 31.A square has a perimeter of 64 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 40 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
34. 34.Each side of a square is 12 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
38. 38.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
40. 40.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?

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