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The size of a television screen is given as the length of the screen’s
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11 Jan 2022, 07:31
11 Jan 2022, 07:31
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78% (02:00) correct
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The size of a television screen is given as the length of the screen’s diagonal. If the screens were flat, then the area of a square 21-inch screen would be how many square inches greater than the area of a square 19-inch screen?
A. 2
B. 4
C. 16
D. 38
E. 40
A. 2
B. 4
C. 16
D. 38
E. 40
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Posts: 6218
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Re: The size of a television screen is given as the length of the screen’s
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11 Jan 2022, 07:46
11 Jan 2022, 07:46
1
Carcass wrote:
The size of a television screen is given as the length of the screen’s diagonal. If the screens were flat, then the area of a square 21-inch screen would be how many square inches greater than the area of a square 19-inch screen?
A. 2
B. 4
C. 16
D. 38
E. 40
A. 2
B. 4
C. 16
D. 38
E. 40
Let x be the length (and width) of the square screen with diagonal 21
The area of the large screen will be x²
Let y be the length (and width) of the square screen with diagonal 19
The area of the small screen will be y²
Our goal is to find the value of x² - y²
Large TV: If we examine the right triangle created by 2 sides (both with length x) and the diagonal, we can apply the Pythagorean Theorem to get x² + x² = 21²
When we simplify this, we get 2x² = 441, which means x² = 441/2
Small TV: If we examine the right triangle created by 2 sides (both with length y) and the diagonal, we can apply the Pythagorean Theorem to get y² + y² = 19²
When we simplify this, we get 2y² = 361, which means y² = 361/2
We can now find the value of x² - y²
We get x² - y² = 441/2 - 361/2 = 80/2 = 40
Answer: E
Cheers,
Brent
Re: The size of a television screen is given as the length of the screens
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23 Apr 2023, 04:44
23 Apr 2023, 04:44
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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