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

Redeem

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

This topic has 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 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

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

by Max@Math Revolution » Wed Jan 22, 2020 11:50 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[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
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

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
Post new topic Post Reply
• Page 1 of 1