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UKMT Pink Kangaroo, 2025

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Etienne looks at a photo on his smartphone. The width and height of the photo are in the ratio of $16:9$ and fills the whole display. When he holds the smartphone vertically, the photo is reduced in size. What proportion of the display area is taken up by the smaller photo?

(A) $\frac{3}{4}$ (B) $\frac{9}{16}$ (C) $\frac{27}{64}$ (D) $\frac{32}{81}$ (E) $\frac{81}{256}$

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