Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 600 · 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.From a rectangle 14 cm long and 12 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)?
2. 2.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
3. 3.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 40 cm. What is its area (in square cm)?
6. 6.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
8. 8.Each side of a square is 15 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
11. 11.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
13. 13.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹14 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.From a rectangle 12 cm long and 12 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
21. 21.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
23. 23.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 16 cm long and 7 cm wide, a rectangle 9 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 12 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
29. 29.From a rectangle 14 cm long and 13 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 16 cm long and 9 cm wide, a rectangle 2 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 10 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
33. 33.From a rectangle 9 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
40. 40.A square has a perimeter of 72 cm. What is its area (in square cm)?

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