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Math Expert V
Joined: 02 Sep 2009
Posts: 55277
The size of a TV screen is given as the length of the screen's diagona  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 65% (01:59) correct 35% (02:49) wrong based on 33 sessions

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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

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Director  G
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The size of a TV screen is given as the length of the screen's diagona  [#permalink]

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Bunuel wrote:
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

$$a^2$$ = 98
a= 7$$\sqrt{2}$$
diagonal = 14
$$A^2$$=162
A = 9$$\sqrt{2}$$
diagonal = 18
difference in diagonal = 18-14=4

Originally posted by CounterSniper on 11 Sep 2018, 03:28.
Last edited by CounterSniper on 11 Sep 2018, 12:02, edited 2 times in total.
Manager  G
Joined: 14 Jun 2018
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Re: The size of a TV screen is given as the length of the screen's diagona  [#permalink]

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1
Side of screen 1 = √98 = 7√2 ; diagonal = 7√2 * √2 = 14
side of screen 2 = √162 = 9√2; diagonal = 9√2 * √2 = 18
Difference = 4
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Re: The size of a TV screen is given as the length of the screen's diagona  [#permalink]

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Bunuel wrote:
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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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: The size of a TV screen is given as the length of the screen's diagona   [#permalink] 12 Sep 2018, 18:24
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# The size of a TV screen is given as the length of the screen's diagona

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