Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 164 · 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 6 cm long and 14 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
3. 3.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
5. 5.The perimeter of a rectangle is 34 cm and its length is 15 cm. What is its width (in cm)?
6. 6.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
9. 9.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 20 cm long and 6 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A square has a perimeter of 16 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
14. 14.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 18 cm long and 9 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
17. 17.A wall is 12 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
20. 20.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A square has a perimeter of 32 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
25. 25.A wall is 4 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 68 cm and its length is 26 cm. What is its width (in cm)?
28. 28.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
37. 37.Each side of a square is 17 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 9 cm long and 15 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.From a rectangle 12 cm long and 11 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)?

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