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 perimeter of rectangle ABCD is 5/2 times as long as the
[#permalink]
23 Mar 2019, 10:24
23 Mar 2019, 10:24
Expert Reply
1
Bookmarks
00:00
Question Stats:
75% (01:02) correct
24% (01:04) wrong based on 79 sessions
Hide Show timer Statistics
The perimeter of rectangle ABCD is \(\frac{5}{2}\) times as long as the side AB.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Length of side AB |
Length of side BC |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The perimeter of rectangle ABCD is 5/2 times as long as the
[#permalink]
10 Sep 2021, 12:59
10 Sep 2021, 12:59
1
Carcass wrote:
The perimeter of rectangle ABCD is \(\frac{5}{2}\) times as long as the side AB.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Length of side AB |
Length of side BC |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Let x = the length of sides AB and DC
Let y = the length of sides AD and BC
The perimeter of rectangle ABCD is 5/2 times the length of side AB
We can write: \(2x + 2y = (\frac{5}{2})x\)
Multiply both sides of the equation by \(2\) to get: \(4x + 4y = 5x\)
Subtract \(4x\) from both sides to get: \(4y = x\)
So, we have:
QUANTITY A: Length of side AB = x
QUANTITY B: Length of side BC = y
Since we know that \(4y = x\), we can replace x with 4y to get:
QUANTITY A: 4y
QUANTITY B: y
Answer: A
General Discussion
Re: The perimeter of rectangle ABCD is 5/2 times as long as the
[#permalink]
28 Mar 2019, 23:10
28 Mar 2019, 23:10
1
Take a rectangle ABCD.
Assume length of side AB = x.
Assume length of side BC = y.
For a rectangle its perimeter is \(2(a+b)\) where a and b are adjacent sides in the rectangle.
Therefore the perimeter for this rectangle ABCD is \(2(x+y) = \frac{5}{2} * x\)
solve for x we get,
\(x = 4y\)
Hence AB = 4y while
BC = Y
since y is +ve we have AB > BC
Assume length of side AB = x.
Assume length of side BC = y.
For a rectangle its perimeter is \(2(a+b)\) where a and b are adjacent sides in the rectangle.
Therefore the perimeter for this rectangle ABCD is \(2(x+y) = \frac{5}{2} * x\)
solve for x we get,
\(x = 4y\)
Hence AB = 4y while
BC = Y
since y is +ve we have AB > BC
