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18 Jun 2018, 06:36
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C
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Difficulty:
25%
(medium)
Question Stats:
74% (01:09) correct
26%
(01:20)
wrong
based on 68
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The “aspect ratio” of a computer monitor is the ratio of the monitor’s width to its height. If a particular monitor has an aspect ratio of 16 : 9, and a perimeter of 100 inches, how many inches wide is the monitor?
(A) 18
(B) 25
(C) 32
(D) 36
(E) 64
(A) 18
(B) 25
(C) 32
(D) 36
(E) 64
18 Jun 2018, 06:53
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Since the perimeter of the screen is 100 inches, it's width and height together is 50 inches (think about a rectangle, and as such one long side and one short side together is half the total perimeter). The aspect ratio can be thought of in another way. The width:height ratio of 16:9 is also the same as the width being 16/25 the width and height added together.
So, we just take 50*16/25 = 32 inches as the width of the monitor.
The height is 18 inches by the way (50*9/25).
Answer is C.
So, we just take 50*16/25 = 32 inches as the width of the monitor.
The height is 18 inches by the way (50*9/25).Answer is C.
18 Jun 2018, 11:05
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Solution
Given:
- • Aspect ratio is the ratio of a monitor’s width to its height
• A particular monitor has an aspect ratio of 16:9
• The perimeter of the monitor is 100 inches
To find:
- • How many inches the monitor is wide
Approach and Working:
As the ratio of width and height is 16:9, we can assume
- • Width = 16x
• Height = 9x
• Therefore, perimeter = 2 * (16x + 9x) = 2 * 25x = 50x
It is given that,
- • 50x = 100
Or, x = 2
Therefore, the monitor is wide by 16 * 2 = 32 inches
Hence, the correct answer is option C.
Answer: C
