Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 102 · 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 12 cm. What is its area (in square cm)?
2. 2.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 76 cm. What is its area (in square cm)?
4. 4.Each side of a square is 6 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
6. 6.From a rectangle 15 cm long and 7 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.From a rectangle 7 cm long and 9 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)?
8. 8.Each side of a square is 5 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 72 cm. What is its area (in square cm)?
12. 12.From a rectangle 11 cm long and 7 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
14. 14.From a rectangle 20 cm long and 5 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)?
15. 15.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
17. 17.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
21. 21.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
24. 24.From a rectangle 11 cm long and 7 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
29. 29.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
32. 32.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 54 cm and its length is 19 cm. What is its width (in cm)?
35. 35.Each side of a square is 12 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 12 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?

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