Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 137 · 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.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
2. 2.From a rectangle 8 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a square is 8 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 15 cm long and 5 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)?
6. 6.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 19 cm long and 14 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)?
10. 10.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A wall is 7 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
17. 17.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
19. 19.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a square is 3 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 9 cm long and 15 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)?
23. 23.From a rectangle 7 cm long and 10 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)?
24. 24.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
28. 28.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
29. 29.A wall is 9 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 9 cm long and 14 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
33. 33.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.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 ₹)?
35. 35.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
39. 39.A wall is 6 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 98 cm and its length is 30 cm. What is its width (in cm)?

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