Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 405 · 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 72 cm. What is its area (in square cm)?
2. 2.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
3. 3.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
5. 5.From a rectangle 15 cm long and 7 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
7. 7.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
10. 10.A square has a perimeter of 36 cm. What is its area (in square cm)?
11. 11.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.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 ₹)?
13. 13.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 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 24 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 12 cm long and 11 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 8 cm. What is its area (in square cm)?
20. 20.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
23. 23.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A square has a perimeter of 80 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
28. 28.From a rectangle 17 cm long and 12 cm wide, a rectangle 12 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
35. 35.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
37. 37.A square has a perimeter of 68 cm. What is its area (in square cm)?
38. 38.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
39. 39.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?

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