Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 262 · 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 72 cm. What is its area (in square cm)?
2. 2.A square has a perimeter of 12 cm. What is its area (in square cm)?
3. 3.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
6. 6.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
8. 8.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.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 ₹)?
10. 10.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
11. 11.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 16 cm long and 11 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a square is 11 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 18 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)?
15. 15.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
19. 19.A square has a perimeter of 16 cm. What is its area (in square cm)?
20. 20.A wall is 6 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹25 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.A square has a perimeter of 56 cm. What is its area (in square cm)?
24. 24.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 102 cm and its length is 28 cm. What is its width (in cm)?
28. 28.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A square has a perimeter of 80 cm. What is its area (in square cm)?
30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
31. 31.From a rectangle 17 cm long and 15 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
33. 33.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
35. 35.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
38. 38.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 20 cm long and 12 cm wide, a rectangle 13 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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