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 figure above AB = BC = CD = 5 units and AD = 13 units
[#permalink]
16 Jun 2023, 00:55
16 Jun 2023, 00:55
Expert Reply
2
Bookmarks
00:00
Question Stats:
60% (01:40) correct
39% (01:33) wrong based on 33 sessions
Hide Show timer Statistics
Attachment:
GRE geometry (11).jpg [ 10.53 KiB | Viewed 1612 times ]
In the figure above AB = BC = CD = 5 units and AD = 13 units
Quantity A |
Quantity B |
Area of BCEF |
15 |
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.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Re: In the figure above AB = BC = CD = 5 units and AD = 13 units
[#permalink]
15 Jul 2023, 13:23
15 Jul 2023, 13:23
Expert Reply
OE
Consider rectangle BCEF,
Since BC = EF, that implies EF = 5 units.
As AB = CD, we can say AF = ED,
As EF = 5, AF = ED and AD = 13, we can say AF = ED = 4 units.
Consider right angled triangles AFB and DEC,
AF = ED = 4,
AB = CD = 5,
Hence, BF = CE = 3 units.
Area of Rectangle BCEF 15
= Length × Breadth
= BF × EF
= 3 × 5
= 15
So A is 15 and B is 15
C is the answer
Consider rectangle BCEF,
Since BC = EF, that implies EF = 5 units.
As AB = CD, we can say AF = ED,
As EF = 5, AF = ED and AD = 13, we can say AF = ED = 4 units.
Consider right angled triangles AFB and DEC,
AF = ED = 4,
AB = CD = 5,
Hence, BF = CE = 3 units.
Area of Rectangle BCEF 15
= Length × Breadth
= BF × EF
= 3 × 5
= 15
So A is 15 and B is 15
C is the answer
Re: In the figure above AB = BC = CD = 5 units and AD = 13 units
[#permalink]
16 Jul 2023, 02:48
16 Jul 2023, 02:48
1
In the figure AD = AF + FE + ED
Since the line BF & CE are perpendicular to AD, FE = 5 units
Therefore AF + ED = 8 units
BF = CE, since the lines are perpendicular to each other.
AB = 5 units;
Using pythogorean triplets
AF = 3 units ; BF = 4 units (or)
AF = 4 units ; BF = 3 units
Since AF+ED = 8 units;
AF = 4 units & BF = 3 units
Area(BCEF) = 5 x 3 = 15 sq units
Hence, option C
Since the line BF & CE are perpendicular to AD, FE = 5 units
Therefore AF + ED = 8 units
BF = CE, since the lines are perpendicular to each other.
AB = 5 units;
Using pythogorean triplets
AF = 3 units ; BF = 4 units (or)
AF = 4 units ; BF = 3 units
Since AF+ED = 8 units;
AF = 4 units & BF = 3 units
Area(BCEF) = 5 x 3 = 15 sq units
Hence, option C
