Given that,
A TV is 27 inch diagonally across the screen.
To find,
The dimensions that best describes a 37 inch TV.
Solution,
Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

If dimensions are 15 x 34,

If dimensions are 16.5 x 32,

If dimensions are 17 x 28,

If dimensions are 17 x 32,

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).