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The perimeter of rectangle ABCD is 5/2 times the length of side AB. Wh

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New post 15 Jul 2019, 04:10
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A
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D
E

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The perimeter of rectangle ABCD is 5/2 times the length of side AB. What is the value of AB/BC ?

(A) 1/4
(B) 1/2
(C) 1
(D) 2
(E) 4

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New post 15 Jul 2019, 04:29
To get the primeter of rectangle, we have the formula
2(X+Y)
2(X+Y)= 5/2X
--》1/2X= 2Y
X=4Y=AB=CD, lengths of rectangle
BC=Y
So, AB/BC= 4Y/Y= 4
Option(E)

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Re: The perimeter of rectangle ABCD is 5/2 times the length of side AB. Wh  [#permalink]

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New post 15 Jul 2019, 04:31
perimeter is 2(AB+BC)
So from given 2(AB+BC) = 5/2(AB) by solving this AB/BC = 4
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New post 15 Jul 2019, 23:02
madgmat2019 wrote:
perimeter is 2(AB+BC)
So from given 2(AB+BC) = 5/2(AB) by solving this AB/BC = 4

Hey,
could you please explain how to solve for AB/BC when having the equation 2(AB+BC) = 5/2(AB)?
Thank you!
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The perimeter of rectangle ABCD is 5/2 times the length of side AB. Wh  [#permalink]

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New post 16 Jul 2019, 06:14
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Luca1111111111111 wrote:
madgmat2019 wrote:
perimeter is 2(AB+BC)
So from given 2(AB+BC) = 5/2(AB) by solving this AB/BC = 4

Hey,
could you please explain how to solve for AB/BC when having the equation 2(AB+BC) = 5/2(AB)?
Thank you!



Hi Luca1111111111111,

We have 2(AB+BC) = \(\frac{5}{2}\)(AB)
cross multiply
4(AB+BC)=5AB
4AB+4BC=5AB
4BC=5AB-4AB
4BC=AB
4=\(\frac{AB}{BC}\)
Hope it's clear now.
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The perimeter of rectangle ABCD is 5/2 times the length of side AB. Wh  [#permalink]

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New post 16 Jul 2019, 10:06
Luca1111111111111 wrote:
madgmat2019 wrote:
perimeter is 2(AB+BC)
So from given 2(AB+BC) = 5/2(AB) by solving this AB/BC = 4

Hey,
could you please explain how to solve for AB/BC when having the equation 2(AB+BC) = 5/2(AB)?
Thank you!


Let length be L and width be W.

Perimeter = 2L+2W =\(\frac{5}{2}\)W.
Multiplying both sides by to rid of the fraction : 4L+4W = 5W
Therefore, 4L = W . (subtracting both sides by 4W).

the ratio of \(\frac{AB}{BC}\)= \(\frac{L}{W}\)= 4:1
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The perimeter of rectangle ABCD is 5/2 times the length of side AB. Wh   [#permalink] 16 Jul 2019, 10:06
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