Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 609 · 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.From a rectangle 15 cm long and 12 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
3. 3.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 6 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 86 cm and its length is 28 cm. What is its width (in cm)?
14. 14.From a rectangle 15 cm long and 5 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)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
17. 17.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
18. 18.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
21. 21.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
24. 24.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 7 cm long and 6 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)?
26. 26.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
29. 29.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
32. 32.Each side of a square is 20 cm. What is its perimeter (in cm)?
33. 33.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
34. 34.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 8 cm long and 13 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 72 cm. What is its area (in square cm)?
40. 40.From a rectangle 15 cm long and 11 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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