The TV Salesman Insists That All 42" TVs Are The Same Size. Is He Right?

Geometry Level 3

Televisions are advertised and sold by the size of their diagonal measurement, but there are varying aspect ratios that determine the height and width of a TV. This means that two TVs with the same "size" might have very different screen areas.

After you've spoken with him for 20 minutes, the salesman still insists that every 42" television is the same size, otherwise "they wouldn't call them all 42", would they?"

What is the actual difference in screen area between a 42" 4:3 television and a 42" 16:9 television? Round your answer to the nearest whole number (in square inches).

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