Question : The breadth of a rectangular floor is $\frac{3}{5}$ of its length. If the area of the floor is 60 m², then what is the difference between the length and breadth of the floor?
Option 1: 6 m
Option 2: 7.5 m
Option 3: 5 m
Option 4: 4 m
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Correct Answer: 4 m
Solution :
Let the length of the rectangular hall be $5x$
⇒ Breadth of the rectangular hall $= 5x × \frac{3}{5} = 3x$
According to the question,
Area of the hall = 60 m$^2$
⇒ $3x × 5x = 60$
⇒ $15x^2 = 60$
⇒ $x^2 = 4$
⇒ $x = 2$
⇒ Difference between length and breadth $= 5x - 3x = 2x = 4$ m
Hence, the correct answer is 4 m.
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