Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 120 · 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 9 m long and 3 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 16 cm and its length is 5 cm. What is its width (in cm)?
3. 3.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
5. 5.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
6. 6.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 12 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 15 cm long and 9 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)?
9. 9.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
15. 15.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
16. 16.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 19 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 16 cm long and 8 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)?
21. 21.A square has a perimeter of 44 cm. What is its area (in square cm)?
22. 22.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
24. 24.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 2 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 20 cm long and 12 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.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 15 cm long and 7 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A square has a perimeter of 24 cm. What is its area (in square cm)?
35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
36. 36.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
37. 37.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 9 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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