ABC26GN4415 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

If the ratio of areas of two squares is 225 : 256, then the ratio of their perimeters is

(a)225 : 256

(b)256 : 225

(c)15 : 16

(d)16 : 15

Answer

Answer (as printed): C

Explanation

$\frac{a^{2}}{b^{2}}=\frac{225}{256}=\frac{(15)^{2}}{(16)^{2}} \Leftrightarrow \frac{a}{b}=\frac{15}{16} \Leftrightarrow \frac{4 a}{4 b}=\frac{4 \times 15}{4 \times 16}=\frac{15}{16}$. ∴ Ratio of perimeter $=15: 16$.

Explanation as extracted from the printed page; notation may be imperfect.

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