Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 503 · 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 15 cm long and 15 cm wide, a rectangle 4 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 48 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
4. 4.Each side of a square is 24 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
6. 6.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
8. 8.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 40 cm. What is its area (in square cm)?
10. 10.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
11. 11.Each side of a square is 15 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.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 ₹)?
15. 15.From a rectangle 17 cm long and 15 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
17. 17.From a rectangle 13 cm long and 15 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)?
18. 18.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 19 cm long and 8 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)?
22. 22.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
23. 23.From a rectangle 12 cm long and 14 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.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 ₹)?
26. 26.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
28. 28.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 ₹)?
29. 29.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
31. 31.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 10 cm long and 12 cm wide, a rectangle 8 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
36. 36.From a rectangle 16 cm long and 6 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)?
37. 37.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.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 ₹)?
39. 39.A square has a perimeter of 80 cm. What is its area (in square cm)?
40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

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