Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 621 · 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 6 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 12 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.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 ₹)?
7. 7.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
8. 8.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A square has a perimeter of 48 cm. What is its area (in square cm)?
11. 11.Each side of a square is 7 cm. What is its perimeter (in cm)?
12. 12.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 28 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
16. 16.From a rectangle 13 cm long and 7 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)?
17. 17.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
21. 21.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 ₹)?
22. 22.From a rectangle 12 cm long and 15 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)?
23. 23.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
27. 27.From a rectangle 12 cm long and 13 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.Each side of a square is 17 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 13 cm long and 12 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
35. 35.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
37. 37.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 80 cm and its length is 28 cm. What is its width (in cm)?

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