BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

In the figure below, what is the ratio of the areas, △ABC : △ADE?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times
by Max@Math Revolution » Wed Jan 22, 2020 11:50 pm
[GMAT math practice question]

In the figure below, what is the ratio of the areas, △ABC : △ADE?
1.23ps.png
A. 25 : 6
B. 24 : 7
C. 23 : 8
D. 22 : 9
E. 21 : 10
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times

Re: In the figure below, what is the ratio of the areas, △ABC : △ADE?

by Max@Math Revolution » Mon Jan 27, 2020 6:19 pm
=>

Since triangles ABC and AEB have the same height, we have △ABC : △AEB = 5 : 2.
Since triangles BDE and ADE have the same height, we have △BDE : △ADE = 2 : 3.
Then we can assume △BDE = 2k and △ADE = 3k.
Thus △AEB = 5k.
Since we have △ABC : △AEB = △ABC : 5k = 5 : 2, we have 2(△ABC) = 25k (by cross multiplying) and △ABC = (25/2)k.
Thus △ABC : ADE = (25/2)k : 3k = 25k : 6k = 25 : 6.

Therefore, A is the answer.
Answer: A
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1