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The figure above has a perimeter of 50. Which of the following express

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pmklings
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The figure above has a perimeter of 50. Which of the following express [#permalink] New post   Updated on: 04 Jan 2023, 05:37
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The figure above has a perimeter of 50. Which of the following expresses y correctly in terms of x?

A. 14/3 + 50/(3x)
B. 2 + 25/x
C. 43 - 7x
D. 25 - 3x
E. None of the above.

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20151119_172532.jpg
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D

Originally posted by pmklings on 19 Nov 2015, 18:37.
Last edited by Bunuel on 04 Jan 2023, 05:37, edited 2 times in total.
Renamed the topic and edited the question.
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Re: The figure above has a perimeter of 50. Which of the following express [#permalink] New post   20 Nov 2015, 00:38
Perimeter = 50
=> (2x+x) + y + x + 7 + 2x + (y-7) = 50
=> 6x + 2y = 50
=> 3x + y = 25
=> y = 25- 3x

Answer D
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Re: The figure above has a perimeter of 50. Which of the following express [#permalink] New post   20 Nov 2015, 00:53
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pmklings wrote:

The figure above has a perimeter of 50. Which of the following expresses y correctly in terms of x?

A. 14/3 + 50/(3x)
B. 2 + 25/x
C. 43 - 7x
D. 25 - 3x
E. None of the above.

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20151119_172532.jpg



irespective of the extra bend, the perimeter will be of a rectangle of sides y and 2x+x..
perimeter =2(y+2x+x)=50..
y + 3x =25 or y=25-3x
ans D
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Re: The figure above has a perimeter of 50. Which of the following express [#permalink] New post   14 Nov 2018, 08:15
To find the perimeter you have to add together all the sides. In this picture the sides include 2x , x, 7, and y. But note you need 2(2x) and 2(x) to add for the length of the top line additionally you need to add (y-7) to account for the far left line. Thus you end up with 4x + 2x + 7 + y + y -7 = 50. Now we just have to solve in terms of x. This simplified down to 25-3x.

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Re: The figure above has a perimeter of 50. Which of the following express [#permalink] New post   14 Nov 2018, 09:12
\(2x + 7 + x + y + ( 2x + x) + ( y - 7) = 50\)

Or, \(2x + 7 + x + y + 3x + y - 7 = 50\)

Or, \(6x + 2y = 50\)

Or, \(3x + y = 25\)

Or, \(y = 25 - 3x\), Answer must be (D)
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Re: The figure above has a perimeter of 50. Which of the following express [#permalink]
14 Nov 2018, 09:12
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