Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 94 · 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 48 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 68 cm. What is its area (in square cm)?
3. 3.From a rectangle 16 cm long and 6 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
5. 5.From a rectangle 8 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)?
6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a square is 19 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 16 cm long and 14 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.Each side of a square is 8 cm. What is its perimeter (in cm)?
12. 12.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
14. 14.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 15 cm long and 13 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
20. 20.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
24. 24.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
25. 25.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a square is 17 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 9 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
30. 30.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 19 cm long and 5 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)?
32. 32.A square has a perimeter of 76 cm. What is its area (in square cm)?
33. 33.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 7 cm long and 14 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 56 cm. What is its area (in square cm)?
38. 38.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?

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