Question

A 57-inch television screen has an aspect ratio of 4:3. Find the scale factor (x), find the length and width, and calculate the Area.
please show work if you can

Answer 1

tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.

so a 57" TV has a 57" diagonal.

Check the picture below.

$\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}$