It is currently 21 Jul 2019, 19:50
My Tests

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.

In rectangle ABCD below, and Find the following. AB=5,AF=7,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 7405
Followers: 125

Kudos [?]: 1451 [0], given: 6615

CAT Tests
In rectangle ABCD below, and Find the following. AB=5,AF=7, [#permalink] New post 26 May 2019, 01:51
Expert's post
In rectangle ABCD below, AB=5,AF=7, FD=3. Find the following.

(a) Area of ABCD

(b) Area of triangle AEF

(c) Length of BD

(d) Perimeter of ABCD

Attachment:
#GREexcercise In rectangle ABCD below.jpg
#GREexcercise In rectangle ABCD below.jpg [ 16.07 KiB | Viewed 255 times ]


[Reveal] Spoiler: OA
(a) 50 (b) 17.5 (c) 5 \(\sqrt{5}\) (d) 30



Math Review
Question: 10
Page: 260
Difficulty: medium

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 2175
Followers: 65

Kudos [?]: 1989 [1] , given: 20

CAT Tests
Re: In rectangle ABCD below, and Find the following. AB=5,AF=7, [#permalink] New post 27 May 2019, 12:49
1
This post received
KUDOS
Expert's post
Carcass wrote:
In rectangle ABCD below, AB=5,AF=7, FD=3. Find the following.

(a) Area of ABCD

(b) Area of triangle AEF

(c) Length of BD

(d) Perimeter of ABCD

Attachment:
#GREexcercise In rectangle ABCD below.jpg


[Reveal] Spoiler: OA
(a) 50 (b) 17.5 (c) 5 \(\sqrt{5}\) (d) 30



Math Review
Question: 10
Page: 260
Difficulty: medium


GIVEN: AB = 5, AF = 7, and FD = 3
Add the information to the diagram
Image


(a) Area of ABCD
Area of rectangle = (base)(height) = (10)(5) = 50


(b) Area of triangle AEF
Image
Area of triangle = (base)(height)/2
= (7)(5)/2 = 17.5


(c) Length of BD
Image
Since ∆ABD is a RIGHT triangle, we can apply the Pythagorean Theorem.
We get: 5² + 10² = (side BD)²
Simplify: 25 + 100 = (side BD)²
Simplify: 125 = (side BD)²
Solve: side BD = √125 = √25 x √5 = 5√5


(d) Perimeter of ABCD
Add lengths of 4 sides
Perimeter = 5 + 10 + 5 + 10 = 30

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for my free GRE Question of the Day emails

Re: In rectangle ABCD below, and Find the following. AB=5,AF=7,   [#permalink] 27 May 2019, 12:49
Display posts from previous: Sort by

In rectangle ABCD below, and Find the following. AB=5,AF=7,

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

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®.