Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 301 · 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 19 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
6. 6.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
9. 9.From a rectangle 16 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
12. 12.From a rectangle 10 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 8 cm long and 15 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
16. 16.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
19. 19.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
21. 21.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 ₹)?
22. 22.A wall is 4 m long and 3 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 24 cm and its length is 10 cm. What is its width (in cm)?
24. 24.A square has a perimeter of 8 cm. What is its area (in square cm)?
25. 25.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
27. 27.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 ₹)?
28. 28.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
30. 30.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.The perimeter of a rectangle is 76 cm and its length is 22 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
33. 33.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
35. 35.A wall is 10 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?

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