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Bunuel
The size of a TV screen is given as the length of the screen's diagonal. If the screens were flat, then the diagonal of a square screen with an area of 98 square inches would be how many inches smaller than the diagonal of a square screen with an area of 162 square inches?


A. \(\sqrt{2}\)

B. 2

C. \(2\sqrt{2}\)

D. 4

E. 8

For a square, we recall that the ratio between the side and the diagonal is x : x√2. The TV screen that is 98 square inches has a side length of:

√98 = √49 x √2 = 7√2, which means the diagonal has a length of 7√2 x √2 = 14.

The TV screen that is 162 square inches has a side length of:

√162 = √81 x √2 = 9√2, which means the diagonal has a length of 9√2 x √2 = 18.

So there is a difference between the diagonals of the 2 TV screens is:

18 - 14 = 4

Answer: D
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