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.
Square QRST has perimeter p.
[#permalink]
03 Mar 2019, 04:02
03 Mar 2019, 04:02
Expert Reply
2
Bookmarks
00:00
Question Stats:
73% (01:00) correct
26% (01:09) wrong based on 155 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion Square QRST has perimeter p. .jpg [ 8.28 KiB | Viewed 6931 times ]
Square QRST has perimeter p.
Quantity A |
Quantity B |
\(x^2 + y^2\) |
\(\frac{p^2}{16}\) |
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: Square QRST has perimeter p.
[#permalink]
05 Mar 2019, 05:30
05 Mar 2019, 05:30
1
ST^2 = x^2 + y^2 pythagorus theorum
Perimeter = 4ST(4 times the side of square)
p^2 = 16*ST^2
p^2/16 = st^2 = x^2+y^2
Hence both are same
Perimeter = 4ST(4 times the side of square)
p^2 = 16*ST^2
p^2/16 = st^2 = x^2+y^2
Hence both are same
Re: Square QRST has perimeter p.
[#permalink]
05 Mar 2019, 10:12
05 Mar 2019, 10:12
1
Square QRST has perimeter p, which means each side of the square has length P/4.
Notice the triangle with side x and y. Since it's a right triangle, x^2 + y^2 = ST^2 (by pythagorean theorem)
ST, which is one side of the square QRST, has length P/4, so ST^2 = (P/4)^2, which is P^2/16.
Answer choice C.
Notice the triangle with side x and y. Since it's a right triangle, x^2 + y^2 = ST^2 (by pythagorean theorem)
ST, which is one side of the square QRST, has length P/4, so ST^2 = (P/4)^2, which is P^2/16.
Answer choice C.
