Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 701 · 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.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
4. 4.Each side of a square is 3 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 56 cm. What is its area (in square cm)?
6. 6.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
7. 7.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
8. 8.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 ₹)?
9. 9.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
11. 11.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 10 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 20 cm long and 6 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)?
15. 15.From a rectangle 19 cm long and 11 cm wide, a rectangle 17 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 11 cm long and 5 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)?
18. 18.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 20 cm long and 13 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 18 cm long and 8 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
23. 23.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.From a rectangle 19 cm long and 10 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
26. 26.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
29. 29.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
31. 31.A wall is 4 m long and 6 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 80 cm and its length is 27 cm. What is its width (in cm)?
33. 33.From a rectangle 18 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.From a rectangle 15 cm long and 12 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
36. 36.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
38. 38.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 ₹)?
39. 39.From a rectangle 13 cm long and 15 cm wide, a rectangle 4 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

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