GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The diagonal of a rectangle
[#permalink]
05 Dec 2019, 12:13
05 Dec 2019, 12:13
1
Expert Reply
00:00
Question Stats:
75% (00:38) correct
24% (00:11) wrong based on 29 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The diagonal of a rectangle |
Half the perimeter of the same rectangle |
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 answer and explanation
Re: The diagonal of a rectangle
[#permalink]
15 Jan 2020, 07:32
15 Jan 2020, 07:32
Carcass wrote:
Quantity A |
Quantity B |
The diagonal of a rectangle |
Half the perimeter of the same rectangle |
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 answer and explanation
Attachment:
#greprepclub The diagonal of a rectangle.jpg [ 13.35 KiB | Viewed 3819 times ]
Plz refer to diag. above
Let us take a rectangle ABCD of length 4 cm and breadth 3 cm
Diagonal of the rectangle BC = \(\sqrt{( 3^2 + 4^2)} = 5\)
Now,
Half the perimeter of the same rectangle = \(\frac{{2 * ( 3 + 4)}}{ 2} = 7\)
Therefore, QTY B > QTY A
Option A
Re: The diagonal of a rectangle
[#permalink]
16 Jan 2020, 07:13
16 Jan 2020, 07:13
let the width be x, hence for a rectangle length can be x+1
half the perimeter = x+x+1
while the diagonal, using pythagoras = sqr(2x^2+1),
try any value of x, The quantity in Column B is greater will hold
half the perimeter = x+x+1
while the diagonal, using pythagoras = sqr(2x^2+1),
try any value of x, The quantity in Column B is greater will hold
