If the diagonal of a square is made 1.5 times, then the ratio of the areas of two squares is · ABC26GN4423
Subject: General Aptitude · Chapter: Area
If the diagonal of a square is made 1.5 times, then the ratio of the areas of two squares is
(a)4 : 3
(b)4 : 5
(c)4 : 7
(d)4 : 9
Answer
Answer (as printed): D
Explanation
Given diagonal $=d$. New diagonal $=\frac{3}{2} d$. Original area $=\frac{1}{2} d^{2}$, New area $=\frac{1}{2} \times\left(\frac{3}{2} d\right)^{2}=\frac{9}{8} d^{2}$. ∴ Required ratio $=\frac{1}{2} d^{2}: \frac{9}{8} d^{2}=\frac{1}{2}: \frac{9}{8}=4: 9$.
Explanation as extracted from the printed page; notation may be imperfect.