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 →

gmat prep question

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 53
Joined: Thu Apr 12, 2007 12:32 am
Thanked: 1 times
by jc114 » Mon May 14, 2007 7:08 am
If the length of each side of rectangle R is squared, what is the sum of the four squared lengths?
(1) the diagonal of rectangle R has length 15
(2) the product of the lengths of 2 adjacent sides of rectangle R is 108.


why is the answer A???
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Senior | Next Rank: 100 Posts
Posts: 55
Joined: Sun Apr 29, 2007 6:25 am
Location: MA
Thanked: 1 times

by bww » Mon May 14, 2007 8:39 am
Hm...I think it's A because from I) we know the diagonal is 15, implying that the right triangle formed with two adjacent sides of the rectangle and this diagonal follows lengths of 3:4:5. Thus, its adjacent sides must be 9 and 12. We can then answer the question of the sum of four squared lengths.

You can double check this with II). It states that product of two adjacent sides is 108. Yep, 9*12=108. But with II) alone, we can't determine that the sides are 9 and 12. II) alone is not sufficient.

The answer is A.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Thu May 03, 2007 9:18 pm

answer

by chris743 » Thu May 17, 2007 11:42 pm
ok, let's suppose the two lenths of the rectangle R are "a" and "b"
then, the question is " what is 2*a^2 + 2*b^2 ?

that means 2(a^2 + *b^2)

1) the lenth of the diagonal is quare root of a^+b^2

therefore, square root of 15 is a^+b^2


now you can get the value......
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 559
Joined: Tue Mar 27, 2007 1:29 amFollowed by: 2 members
Thanked: 5 times

by Cybermusings » Fri May 18, 2007 5:15 am
If the length of each side of rectangle R is squared, what is the sum of the four squared lengths?
(1) the diagonal of rectangle R has length 15
(2) the product of the lengths of 2 adjacent sides of rectangle R is 108.

If the two sides are x and y. then the square of the two sides = x^2 and y^2....

Statement I : If the diagonal of the rectangle = 15 then x^2 + y^2 = 15^2
(according to the pythogarous theorem)
So 2(x^2+y^2) = 2(15)^2
Thus sufficient

Statement II: The product of the 2 adjacent lengths = 108
Area = l*b = 108
it can be 54&2; 27&4; 36&3; 18&6
So insufficient

Hence A
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1