Question

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Answer 1

Let's just do this the simple way. Let the width be 16 in. and the height be 9 in. The diagonal of this TV would be exactly \[\sqrt{16^2+9^2}=\sqrt{337}\]by the pythagorean theorem. So let \(d=\sqrt{337}\)

Answer 2

Thus, to find the expression for the width, you want to find an x such that \[w=16=x \sqrt{337}\]Therefore, \[x={16 \over \sqrt{337}}\]There's only one answer with this possibility, so we're done.