Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 206 · 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 square has a perimeter of 12 cm. What is its area (in square cm)?
2. 2.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
3. 3.From a rectangle 17 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
6. 6.From a rectangle 6 cm long and 8 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)?
7. 7.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 10 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
11. 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
12. 12.From a rectangle 16 cm long and 9 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 17 cm long and 13 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.From a rectangle 14 cm long and 10 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 11 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)?
17. 17.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 60 cm. What is its area (in square cm)?
20. 20.From a rectangle 7 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 13 cm long and 10 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 13 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 80 cm. What is its area (in square cm)?
27. 27.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 40 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 68 cm. What is its area (in square cm)?
30. 30.From a rectangle 7 cm long and 9 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
32. 32.From a rectangle 14 cm long and 13 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
34. 34.A square has a perimeter of 48 cm. What is its area (in square cm)?
35. 35.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.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 ₹)?
37. 37.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 19 cm long and 15 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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