Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 628 · 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.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
2. 2.A square has a perimeter of 8 cm. What is its area (in square cm)?
3. 3.From a rectangle 15 cm long and 11 cm wide, a rectangle 11 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.The perimeter of a rectangle is 88 cm and its length is 27 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 60 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 12 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
8. 8.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.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 ₹)?
12. 12.The perimeter of a rectangle is 62 cm and its length is 16 cm. What is its width (in cm)?
13. 13.From a rectangle 19 cm long and 14 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
16. 16.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 13 cm long and 6 cm wide, a rectangle 9 cm by 1 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 36 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
22. 22.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 ₹)?
23. 23.The perimeter of a rectangle is 90 cm and its length is 26 cm. What is its width (in cm)?
24. 24.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
32. 32.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.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 ₹)?
36. 36.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
37. 37.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 8 cm long and 8 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)?
40. 40.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

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