GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Jun 2018, 16:36

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The diagonal of the floor of a rectangular closet is 15/2 feet. The sh

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46297
The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 13 Feb 2018, 05:53
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

79% (01:29) correct 21% (01:22) wrong based on 66 sessions

HideShow timer Statistics

The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?

(A) 37

(B) 27

(C) 54/4

(D) 21/4

(E) 5

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2839
Location: India
GPA: 3.12
Premium Member
The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 13 Feb 2018, 07:04
1
Bunuel wrote:
The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?

(A) 37

(B) 27

(C) 54/4

(D) 21/4

(E) 5


In a rectangle, \(Diagonal^2 = Side1^2 + Side2^2\)

\(\frac{225}{4} = \frac{81}{4} + Side2^2\) -> \(Side2^2 = \frac{144}{4} = 36\) -> \(Side2= \sqrt{36} = 6\)

Therefore, the Area of the rectangle is \(6*\frac{9}{2}\) = 27(Option B)
_________________

You've got what it takes, but it will take everything you've got

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2779
Location: United States (CA)
Re: The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 14 Feb 2018, 10:57
Bunuel wrote:
The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?

(A) 37

(B) 27

(C) 54/4

(D) 21/4

(E) 5


We can use the Pythagorean theorem to solve for the longer side of the closet:

(9/2)^2 + b^2 = (15/2)^2

81/4 + b^2 = 225/4

b^2 = 144/4

b^2 = 36

b = 6

So the area is 9/2 x 6 = 27.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1763
Premium Member CAT Tests
The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 26 Feb 2018, 18:37
Bunuel wrote:
The diagonal of the floor of a rectangular closet is 15/2 feet. The shorter side of the closet is 9/2 feet. What is the area of the closet in square feet?

(A) 37

(B) 27

(C) 54/4

(D) 21/4

(E) 5

A rectangle is divided by its diagonal into two congruent right triangles.

Rule: If a right triangle has a leg:hypotenuse ratio of 3:5 (or 4:5, or legs in ratio 3:4), it is a 3-4-5 right triangle.

Common 3x-4x-5x triangles include 6-8-10 (x=2), 9-12-15 (x=3), 12-16-20 (x=4), etc.

The short leg of this right triangle in the closet is \(\frac{9}{2}\) feet. The hypotenuse is \(\frac{15}{2}\) feet.

Focus on the numerator. Without any calculation we can say the other leg must be \(\frac{12}{2}\) feet long. The numerator matches the 9-12-15 pattern.
Keep the same denominator. OR

\((leg1)^2 + (leg2)^2 = h^2\)
\(\frac{9}{2}^2 + (leg2)^2 = \frac{15}{2}^2\)
\((leg2)^2 = (\frac{225}{4}-\frac{81}{4})\)
\(\sqrt{(leg2)^2}=\sqrt{\frac{144}{4}}=\frac{12}{2} = 6\)


Area \(= L*W = \frac{9}{2}*6=\frac{54}{2}=27\)

Answer B

*The multiplier is \(\frac{3}{2}\).\((3*\frac{3}{2})=\frac{9}{2}\), and \((5*\frac{3}{2})=\frac{15}{2}\). If you focus on the numerator and just make the second leg's denominator match the denominator of the other two lengths, you do not need to find the multiplier or use the Pythagorean theorem.
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Intern
Intern
avatar
B
Joined: 05 Dec 2017
Posts: 5
Re: The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 07 Mar 2018, 10:04
Hey Bunuel is the qustion asking to calculate the area of the closet or the rectangular floor?
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46297
Re: The diagonal of the floor of a rectangular closet is 15/2 feet. The sh [#permalink]

Show Tags

New post 07 Mar 2018, 10:17
Re: The diagonal of the floor of a rectangular closet is 15/2 feet. The sh   [#permalink] 07 Mar 2018, 10:17
Display posts from previous: Sort by

The diagonal of the floor of a rectangular closet is 15/2 feet. The sh

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.