Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 497 · 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 square has a perimeter of 76 cm. What is its area (in square cm)?
2. 2.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
4. 4.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
5. 5.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
6. 6.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 19 cm long and 15 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
10. 10.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 16 cm long and 8 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
19. 19.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 94 cm and its length is 30 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 68 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
24. 24.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A square has a perimeter of 36 cm. What is its area (in square cm)?
26. 26.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 13 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)?
28. 28.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
32. 32.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
35. 35.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
37. 37.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 18 cm long and 10 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 44 cm. What is its area (in square cm)?
40. 40.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?

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