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Smartphone Screen

Age 14 to 16 Short
Challenge Level

A smartphone's display is given as the diagonal distance between the vertices. A certain smartphone has a 5 inch display and a resolution of 1920 pixels (length) x 1200 pixels (width).

What are the length and width of the display, in inches? Leave your answer in the form $\dfrac{a}{\sqrt b}$, where $a$, $b$ are integers.

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.