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.
1,600 feet of fencing is used to enclose a square plot.
[#permalink]
19 Oct 2017, 14:49
19 Oct 2017, 14:49
Expert Reply
00:00
Question Stats:
76% (01:14) correct
23% (01:05) wrong based on 157 sessions
Hide Show timer Statistics
1,600 feet of fencing is used to enclose a square plot.
Quantity A |
Quantity B |
The plot's new area if the length were reduced by 4 feet and the width increased by 4 feet |
The plot's new area if the length were equal to 398 feet and the width were equal to 402 feet |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 1,600 feet of fencing is used to enclose a square plot.
[#permalink]
20 Oct 2017, 06:45
20 Oct 2017, 06:45
1
Since the plot is a square, its side is equal to \(sqrt(1600) = 40\). Then quantity A is 36*44 = 1584. Quantity B, instead is 402*398 = 159,996.
Answer B
Answer B
Re: 1,600 feet of fencing is used to enclose a square plot.
[#permalink]
04 Mar 2018, 06:42
04 Mar 2018, 06:42
3
As per the question,
1600ft = perimeter of a square plot => length of each side = 1600/4 = 400ft
So,
Quantity A = (len-4)(len+4) = (400-4)(400+4) = 400^2 - 4^2
Quantity B = 398x402 = (400-2)(400+2) = 400^2 - 2^2
=> Quantity B > Quantity A
Hence answer is B.
1600ft = perimeter of a square plot => length of each side = 1600/4 = 400ft
So,
Quantity A = (len-4)(len+4) = (400-4)(400+4) = 400^2 - 4^2
Quantity B = 398x402 = (400-2)(400+2) = 400^2 - 2^2
=> Quantity B > Quantity A
Hence answer is B.
