Given that a 22-inch monitor with an aspect ratio of 16 : 9 has monitor…
2017
Given that a 22-inch monitor with an aspect ratio of 16 : 9 has monitor resolution of 1920×1080, what is the width of the monitor?
- A.
22 inches
- B.
8.53 inches
- C.
10.79 inches
- D.
19.17 inches
Attempted by 24 students.
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Correct answer: D
Key idea: use the aspect ratio to express width and height in terms of a common factor, then apply the Pythagorean relation with the diagonal. Let width = 16x and height = 9x (from aspect ratio 16:9).
Use the diagonal (22 inches): sqrt((16x)^2 + (9x)^2) = 22.
Simplify: (16^2 + 9^2) x^2 = 22^2 → 337 x^2 = 484 → x = 22