Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 606 · 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 9 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)?
2. 2.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 9 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
5. 5.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 52 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.From a rectangle 15 cm long and 13 cm wide, a rectangle 12 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
12. 12.Each side of a square is 12 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 7 cm long and 14 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
16. 16.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 12 cm. What is its area (in square cm)?
18. 18.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 17 cm long and 9 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
22. 22.From a rectangle 19 cm long and 15 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 70 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 36 cm. What is its area (in square cm)?
25. 25.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 20 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 40 cm. What is its area (in square cm)?
28. 28.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 78 cm and its length is 20 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 28 cm. What is its area (in square cm)?
31. 31.From a rectangle 10 cm long and 15 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)?
32. 32.A wall is 8 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 8 cm long and 12 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.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?

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