 It is currently 18 Jun 2019, 09:19 GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 6898
Followers: 114

Kudos [?]: 1342 , given: 6309

The area of triangle KLM is equal to the area of rectangle [#permalink]
Expert's post 00:00

Question Stats: 84% (00:59) correct 15% (00:53) wrong based on 33 sessions

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 1526 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
[Reveal] Spoiler: OA

_________________
GRE Instructor Joined: 10 Apr 2015
Posts: 1975
Followers: 60

Kudos [?]: 1798 , given: 9

Re: The area of triangle KLM is equal to the area of rectangle [#permalink]
Expert's post
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

[Reveal] Spoiler:
E

RELATED VIDEOS

_________________

Brent Hanneson – Creator of greenlighttestprep.com  Re: The area of triangle KLM is equal to the area of rectangle   [#permalink] 06 Jun 2017, 16:14
Display posts from previous: Sort by

The area of triangle KLM is equal to the area of rectangle  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.