Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 71 · 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 64 cm. What is its area (in square cm)?
2. 2.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
4. 4.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 9 cm long and 12 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a square is 18 cm. What is its perimeter (in cm)?
7. 7.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
9. 9.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
10. 10.From a rectangle 18 cm long and 9 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
13. 13.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
15. 15.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
17. 17.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 16 cm long and 15 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
20. 20.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a square is 25 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 16 cm long and 11 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
24. 24.A wall is 9 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 48 cm. What is its area (in square cm)?
28. 28.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a square is 19 cm. What is its perimeter (in cm)?
32. 32.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
34. 34.A square has a perimeter of 60 cm. What is its area (in square cm)?
35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
36. 36.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 6 cm long and 11 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A wall is 8 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?

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