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 area of triangle KLM is equal to the area of rectangle
[#permalink]
06 Jun 2017, 06:29
06 Jun 2017, 06:29
Expert Reply
1
Bookmarks
00:00
Question Stats:
91% (01:05) correct
8% (01:03) wrong based on 149 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM.jpg [ 7.21 KiB | Viewed 10375 times ]
The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM ?
A) \(\frac{3}{2}\)
B) 3
C) \(\frac{16}{5}\)
D) 5
E) 6
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
The area of triangle KLM is equal to the area of rectangle
[#permalink]
06 Jun 2017, 16:14
06 Jun 2017, 16:14
Carcass wrote:
The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM ?
A) \(\frac{3}{2}\)
B) 3
C) \(\frac{16}{5}\)
D) 5
E) 6
The perimeter of ABCD is 16
Let x = length of side BC
This also means x = length of side AD
Also, we can see that CD has length 3
So, we get: x + x + 3 + 3 = 16
Simplify: 2x + 6 = 16
Solve: x = 5
So, side BC has length 5
So, the AREA of rectangle ABCD = (5)(3) = 15
The area of triangle KLM is equal to the area of rectangle ABCD.
We know the area of rectangle ABCD = 15
So, the area of triangle KLM = 15
Area of triangle = (base)(height)/2
Substitute to get: 15 = (side LM)(5)/2
Multiply both sides by 2 to get: 30 = (side LM)(5)
Divide both sides by 5 to get: 6 = side LM
Answer: E
RELATED VIDEO
Re: The area of triangle KLM is equal to the area of rectangle
[#permalink]
30 Jun 2021, 12:25
30 Jun 2021, 12:25
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
