Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 433 · 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 16 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 114 cm and its length is 29 cm. What is its width (in cm)?
3. 3.Each side of a square is 10 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 16 cm long and 9 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 10 cm long and 15 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 100 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
11. 11.From a rectangle 12 cm long and 14 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
13. 13.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 ₹)?
14. 14.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
15. 15.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
16. 16.Each side of a square is 5 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
19. 19.A wall is 9 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 14 cm long and 8 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 20 cm long and 15 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 94 cm and its length is 25 cm. What is its width (in cm)?
27. 27.From a rectangle 17 cm long and 6 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 9 cm long and 6 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 12 cm. What is its area (in square cm)?
31. 31.A square has a perimeter of 52 cm. What is its area (in square cm)?
32. 32.From a rectangle 6 cm long and 13 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 17 cm long and 8 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.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
37. 37.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
39. 39.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?

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