Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 359 · 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 rectangular field is 70 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
4. 4.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 8 cm long and 12 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)?
6. 6.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.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 ₹)?
11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
12. 12.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
13. 13.A wall is 7 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 48 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
16. 16.From a rectangle 17 cm long and 12 cm wide, a rectangle 15 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 7 cm long and 6 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)?
19. 19.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
20. 20.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A square has a perimeter of 72 cm. What is its area (in square cm)?
22. 22.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 10 cm long and 12 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.From a rectangle 12 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
27. 27.From a rectangle 15 cm long and 10 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 16 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 17 cm long and 11 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)?
32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
33. 33.From a rectangle 15 cm long and 15 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a square is 4 cm. What is its perimeter (in cm)?
35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
36. 36.From a rectangle 20 cm long and 6 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?

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