Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 699 · 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 wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
4. 4.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
8. 8.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 80 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 108 cm and its length is 28 cm. What is its width (in cm)?
13. 13.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 3 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
22. 22.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 15 cm long and 15 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)?
24. 24.The perimeter of a rectangle is 80 cm and its length is 29 cm. What is its width (in cm)?
25. 25.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
27. 27.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
33. 33.From a rectangle 9 cm long and 9 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)?
34. 34.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 17 cm long and 7 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)?
36. 36.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
37. 37.From a rectangle 7 cm long and 13 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?

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