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Square ABCD has area 25
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24 Jul 2020, 10:49
24 Jul 2020, 10:49
Expert Reply
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Question Stats:
62% (00:33) correct
37% (00:25) wrong based on 16 sessions
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Square ABCD has area 25
Quantity A |
Quantity B |
The perimeter of pentagon ADECB |
30 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right solution and explanation
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Re: Square ABCD has area 25
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24 Jul 2020, 22:13
24 Jul 2020, 22:13
1
\(\square\) ABCD has area 25
=> \(Side^2\) = 25
=> Side = 5
So, AB = BC = CD = AD = 5
Now, \(\triangle\) CDE has all angles equal => its an Equilateral Triangle
=> All sides of \(\triangle\) CDE are equal
=> CD = DE = CE = AB = BC = AD = 5
Quantity A
Perimeter of ADECB = AD + DE + EC + CB + BA = 5 + 5 + 5 + 5 = 25
=> Quantity B > Quantity A
So, Answer will be B
Hope it helps!
=> \(Side^2\) = 25
=> Side = 5
So, AB = BC = CD = AD = 5
Now, \(\triangle\) CDE has all angles equal => its an Equilateral Triangle
=> All sides of \(\triangle\) CDE are equal
=> CD = DE = CE = AB = BC = AD = 5
Quantity A
Perimeter of ADECB = AD + DE + EC + CB + BA = 5 + 5 + 5 + 5 = 25
=> Quantity B > Quantity A
So, Answer will be B
Hope it helps!
gmatclubot
Re: Square ABCD has area 25 [#permalink]
24 Jul 2020, 22:13
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