Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 708 · 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 76 cm. What is its area (in square cm)?
2. 2.From a rectangle 16 cm long and 6 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
7. 7.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 7 cm long and 11 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
10. 10.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 17 cm long and 11 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)?
12. 12.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
16. 16.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 8 cm. What is its area (in square cm)?
18. 18.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)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
21. 21.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 19 cm long and 14 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a square is 12 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 19 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)?
26. 26.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 8 cm long and 5 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)?
30. 30.From a rectangle 10 cm long and 5 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)?
31. 31.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
32. 32.From a rectangle 8 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)?
33. 33.From a rectangle 18 cm long and 14 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a square is 10 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 60 cm and its length is 21 cm. What is its width (in cm)?
36. 36.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 80 cm. What is its area (in square cm)?
38. 38.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of a square is 23 cm. What is its perimeter (in cm)?

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