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.
In the square above, 12w = 3x = 4y. What fractional part of the square
[#permalink]
10 Nov 2022, 10:34
10 Nov 2022, 10:34
Expert Reply
00:00
Question Stats:
50% (03:21) correct
50% (04:00) wrong based on 8 sessions
Hide Show timer Statistics
Attachment:
GRE shaded region.jpg [ 15.91 KiB | Viewed 940 times ]
In the square above, \(12w = 3x = 4y\). What fractional part of the square is shaded?
A) 2/3
B) 14/25
C) 5/9
D) 11/25
E) 3/7
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: In the square above, 12w = 3x = 4y. What fractional part of the square
[#permalink]
14 Nov 2022, 07:52
14 Nov 2022, 07:52
1
Expert Reply
12w = 3x = 4y
x = 4w &
y = 3w
Area of square \(= (5w)^2 = 25w^2\) .............. (1)
Area of unshaded region (4 right triangles) \(= \frac{1}{2} w * 4w + \frac{1}{2} 2 w^2 + \frac{1}{2} 4w * 3w + \frac{1}{2} w * 4w\)
\(= 2w^2 + w^2 + 6w^2 + 2w^2 = 11w^2\) ............. (2)
Area of shaded region \(= 25w^2 - 11w^2 = 14w^2\)
Fraction \(= \frac{14}{25}\)
Answer: B
x = 4w &
y = 3w
Area of square \(= (5w)^2 = 25w^2\) .............. (1)
Area of unshaded region (4 right triangles) \(= \frac{1}{2} w * 4w + \frac{1}{2} 2 w^2 + \frac{1}{2} 4w * 3w + \frac{1}{2} w * 4w\)
\(= 2w^2 + w^2 + 6w^2 + 2w^2 = 11w^2\) ............. (2)
Area of shaded region \(= 25w^2 - 11w^2 = 14w^2\)
Fraction \(= \frac{14}{25}\)
Answer: B
gmatclubot
Re: In the square above, 12w = 3x = 4y. What fractional part of the square [#permalink]
14 Nov 2022, 07:52
Moderators:
