Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 190 · 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 wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
3. 3.From a rectangle 20 cm long and 8 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 80 cm. What is its area (in square cm)?
5. 5.From a rectangle 17 cm long and 10 cm wide, a rectangle 4 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 regular pentagon is 19 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
8. 8.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 6 cm long and 6 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)?
10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
11. 11.From a rectangle 13 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
14. 14.A square has a perimeter of 68 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
16. 16.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 18 cm long and 11 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.From a rectangle 19 cm long and 11 cm wide, a rectangle 17 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
24. 24.From a rectangle 14 cm long and 13 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
27. 27.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 10 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.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 ₹)?
30. 30.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
32. 32.Each side of a square is 5 cm. What is its perimeter (in cm)?
33. 33.Each side of a square is 8 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
38. 38.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 9 cm long and 11 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of a square is 3 cm. What is its perimeter (in cm)?

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