Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 604 · 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.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
2. 2.Each side of a square is 15 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 40 cm. What is its area (in square cm)?
4. 4.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
7. 7.From a rectangle 10 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 7 cm long and 14 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
15. 15.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 48 cm. What is its area (in square cm)?
17. 17.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a square is 6 cm. What is its perimeter (in cm)?
19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
20. 20.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
22. 22.From a rectangle 20 cm long and 7 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
25. 25.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
29. 29.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
30. 30.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
31. 31.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 60 cm. What is its area (in square cm)?
34. 34.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 8 cm long and 14 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)?
36. 36.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
37. 37.Each side of a square is 10 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

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