Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 703 · 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 52 cm. What is its area (in square cm)?
2. 2.From a rectangle 9 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
5. 5.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 60 cm. What is its area (in square cm)?
7. 7.From a rectangle 13 cm long and 14 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.From a rectangle 20 cm long and 8 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A square has a perimeter of 56 cm. What is its area (in square cm)?
12. 12.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 12 cm long and 10 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A wall is 3 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a square is 7 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 11 cm long and 14 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
20. 20.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 11 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
24. 24.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
26. 26.From a rectangle 11 cm long and 13 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
30. 30.From a rectangle 12 cm long and 11 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?

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