Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 90 · 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 68 cm. What is its area (in square cm)?
2. 2.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A wall is 9 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
5. 5.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 20 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)?
9. 9.The perimeter of a rectangle is 70 cm and its length is 24 cm. What is its width (in cm)?
10. 10.From a rectangle 9 cm long and 9 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 10 cm long and 10 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 108 cm and its length is 29 cm. What is its width (in cm)?
15. 15.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 80 cm. What is its area (in square cm)?
21. 21.From a rectangle 14 cm long and 10 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a square is 23 cm. What is its perimeter (in cm)?
23. 23.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A square has a perimeter of 72 cm. What is its area (in square cm)?
26. 26.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
28. 28.A square has a perimeter of 48 cm. What is its area (in square cm)?
29. 29.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
30. 30.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 11 cm long and 5 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)?
32. 32.A square has a perimeter of 8 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 40 cm. What is its area (in square cm)?
34. 34.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
35. 35.Each side of a square is 15 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
37. 37.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?

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