Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 194 · 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 80 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.From a rectangle 15 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 12 cm. What is its area (in square cm)?
6. 6.From a rectangle 10 cm long and 14 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
8. 8.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 13 cm long and 10 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A square has a perimeter of 52 cm. What is its area (in square cm)?
18. 18.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
20. 20.From a rectangle 10 cm long and 9 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)?
21. 21.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a square is 10 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 16 cm long and 5 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 40 cm. What is its area (in square cm)?
28. 28.From a rectangle 16 cm long and 5 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 80 cm. What is its area (in square cm)?
32. 32.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
34. 34.From a rectangle 11 cm long and 11 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)?
35. 35.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 28 cm. What is its area (in square cm)?
38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
39. 39.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 48 cm. What is its area (in square cm)?

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