Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 419 · 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 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
4. 4.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
7. 7.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 12 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
11. 11.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
13. 13.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
16. 16.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 9 cm long and 13 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 68 cm. What is its area (in square cm)?
20. 20.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
23. 23.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 32 cm. What is its area (in square cm)?
28. 28.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 10 cm long and 15 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
32. 32.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 72 cm. What is its area (in square cm)?
35. 35.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 11 cm long and 5 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)?
38. 38.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 18 cm long and 13 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?

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