Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 593 · 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 wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 7 cm long and 5 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)?
5. 5.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 10 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
8. 8.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
9. 9.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 17 cm long and 15 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 11 cm long and 10 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)?
13. 13.From a rectangle 15 cm long and 10 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)?
14. 14.From a rectangle 15 cm long and 10 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.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 ₹)?
18. 18.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
20. 20.From a rectangle 17 cm long and 10 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
22. 22.A square has a perimeter of 40 cm. What is its area (in square cm)?
23. 23.Each side of an equilateral triangle is 12 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.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 52 cm and its length is 15 cm. What is its width (in cm)?
27. 27.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
29. 29.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 12 cm. What is its area (in square cm)?
32. 32.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
33. 33.A square has a perimeter of 56 cm. What is its area (in square cm)?
34. 34.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
36. 36.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 90 cm and its length is 30 cm. What is its width (in cm)?
38. 38.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
40. 40.From a rectangle 15 cm long and 13 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)?

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