Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 181 · 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 19 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
5. 5.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 68 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 20 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
9. 9.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
14. 14.Each side of a square is 3 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 20 cm long and 7 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
20. 20.From a rectangle 17 cm long and 9 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A wall is 8 m long and 5 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 34 cm and its length is 10 cm. What is its width (in cm)?
23. 23.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 64 cm and its length is 28 cm. What is its width (in cm)?
26. 26.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 12 cm long and 14 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.Each side of a square is 6 cm. What is its perimeter (in cm)?
30. 30.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 10 cm long and 15 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
33. 33.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
34. 34.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
38. 38.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 16 cm long and 15 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 28 cm. What is its area (in square cm)?

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