Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 9 · 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 17 cm long and 15 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?
4. 4.Each side of a square is 25 cm. What is its perimeter (in cm)?
5. 5.Each side of a square is 14 cm. What is its perimeter (in cm)?
6. 6.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 ₹)?
7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
9. 9.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
11. 11.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 12 cm long and 10 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)?
14. 14.From a rectangle 17 cm long and 5 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 72 cm. What is its area (in square cm)?
17. 17.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 9 cm long and 14 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.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 ₹)?
20. 20.From a rectangle 10 cm long and 5 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)?
21. 21.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 13 cm long and 10 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)?
23. 23.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 12 cm. What is its area (in square cm)?
30. 30.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
31. 31.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 56 cm and its length is 19 cm. What is its width (in cm)?
33. 33.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
34. 34.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 12 cm long and 12 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)?
36. 36.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 76 cm. What is its area (in square cm)?
38. 38.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 ₹)?
39. 39.A wall is 3 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 64 cm and its length is 21 cm. What is its width (in cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets