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The area of a rectangle is 4 times the area of a square. The area of the square is 729 sq cm and the length of the rectangle is 81 cm. What is the difference between the side of the square and the breadth of the rectangle? 
  • a)
    18 cm  
  • b)
    27 cm 
  • c)
    24 cm
  • d)
    9 cm  
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The area of a rectangle is 4 times the area of a square. The area of t...
Area of rectangle = 4*729
81b = 4*729
b = 36
Difference = 36 – √729=9 cm
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Most Upvoted Answer
The area of a rectangle is 4 times the area of a square. The area of t...
Given data:

Area of square = 729 sq cm

Area of rectangle = 4 * Area of square

Length of rectangle = 81 cm

To find: Difference between the side of the square and the breadth of the rectangle

Solution:

Area of square = Side * Side

729 = Side * Side

Side = √729 = 27 cm

Area of rectangle = Length * Breadth

4 * 729 = 81 * Breadth

Breadth = (4 * 729) / 81 = 36 cm

Difference between the side of the square and the breadth of the rectangle = Side - Breadth = 27 - 36 = -9 cm

Therefore, the difference between the side of the square and the breadth of the rectangle is 9 cm (Option D).
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The area of a rectangle is 4 times the area of a square. The area of the square is 729 sq cm and the length of the rectangle is 81 cm. What is the difference between the side of the square and the breadth of the rectangle?a)18 cm b)27 cmc)24 cmd)9 cm e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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