Discussion
The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?
Answer: C
The area is unchanged, so the new breadth follows from it directly.
\[ A = 18 \times 10 = 180 \text{ cm}^{2} \]
\[ b' = \frac{180}{25} = 7.2 \text{ cm} \]
Length and breadth are inversely proportional when the area is fixed: the length rose by a factor of \( \tfrac{25}{18} \), so the breadth falls by the same factor, \( 10 \times \tfrac{18}{25} = 7.2 \).
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