Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 224 · 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 rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 12 cm long and 13 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)?
3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 8 cm long and 14 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
8. 8.From a rectangle 13 cm long and 6 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)?
9. 9.A wall is 9 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 8 cm long and 11 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
14. 14.From a rectangle 6 cm long and 11 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)?
15. 15.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
17. 17.From a rectangle 10 cm long and 14 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.The perimeter of a rectangle is 72 cm and its length is 19 cm. What is its width (in cm)?
19. 19.A wall is 9 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 15 cm long and 10 cm wide, a rectangle 2 cm by 2 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 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 11 cm long and 14 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)?
23. 23.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
24. 24.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 6 cm long and 11 cm wide, a rectangle 2 cm by 4 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 54 cm and its length is 14 cm. What is its width (in cm)?
29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
30. 30.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 48 cm. What is its area (in square cm)?
32. 32.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 7 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)?
34. 34.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
35. 35.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 17 cm long and 12 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
40. 40.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

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