Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 711 · 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.Each side of a square is 18 cm. What is its perimeter (in cm)?
2. 2.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.From a rectangle 12 cm long and 12 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 18 cm long and 10 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
6. 6.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a square is 6 cm. What is its perimeter (in cm)?
9. 9.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 6 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 15 cm long and 9 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
15. 15.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 36 cm. What is its area (in square cm)?
17. 17.A wall is 11 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 60 cm. What is its area (in square cm)?
19. 19.From a rectangle 16 cm long and 8 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 64 cm. What is its area (in square cm)?
25. 25.A square has a perimeter of 44 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
27. 27.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 15 cm long and 10 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)?
29. 29.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
31. 31.From a rectangle 14 cm long and 9 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 14 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)?
34. 34.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
35. 35.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 14 cm long and 9 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 16 cm. What is its area (in square cm)?
38. 38.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 16 cm long and 11 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)?

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