Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 638 · 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.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
2. 2.From a rectangle 7 cm long and 7 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
4. 4.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
5. 5.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 20 cm long and 5 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
9. 9.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 11 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 18 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 12 cm long and 7 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)?
13. 13.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 72 cm. What is its area (in square cm)?
16. 16.From a rectangle 14 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 6 cm long and 8 cm wide, a rectangle 1 cm by 1 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 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a square is 18 cm. What is its perimeter (in cm)?
20. 20.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
23. 23.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
27. 27.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
29. 29.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.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 ₹)?
31. 31.A square has a perimeter of 60 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 24 cm. What is its area (in square cm)?
33. 33.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
38. 38.A wall is 6 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
40. 40.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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