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The “aspect ratio” of a computer monitor is the ratio of the monitor’s

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Bunuel
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The “aspect ratio” of a computer monitor is the ratio of the monitor’s [#permalink] New post   18 Jun 2018, 06:36
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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
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Re: The “aspect ratio” of a computer monitor is the ratio of the monitor’s [#permalink] New post   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.
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Re: The “aspect ratio” of a computer monitor is the ratio of the monitor’s [#permalink] New post   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
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Re: The “aspect ratio” of a computer monitor is the ratio of the monitor’s [#permalink] New post   20 Jun 2018, 17:02
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Bunuel wrote:
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


We can create the equations:

16/9 = w/h

16h = 9w

And

2h + 2w = 100

h + w = 50

h = 50 - w

Substituting we have:

16(50 - w) = 9w

800 - 16w = 9w

800 = 25w

32 = w

Alternate Solution:

We can express the ratio of width to height as 16x : 9x. Since the perimeter of a rectangle is 2w + 2h, we can re-express the ratio 2w : 2h as 32x : 18x. Since the perimeter of the computer monitor is 100 inches, we have:

32x + 18x = 100

50x = 100

x = 2

Substituting into the ratio, we have

2w = 32x

2w = 64

w = 32

Answer: C
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Re: The aspect ratio of a computer monitor is the ratio of the monitors [#permalink] New post   17 Aug 2022, 03:35
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Re: The aspect ratio of a computer monitor is the ratio of the monitors [#permalink]
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