It is currently 22 Mar 2019, 09:14

### 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

# In the figure above, if the area of the inscribed rectangula

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5860
Followers: 94

Kudos [?]: 1148 [0], given: 5456

In the figure above, if the area of the inscribed rectangula [#permalink]  17 Dec 2016, 07:52
Expert's post
00:00

Question Stats:

100% (00:47) correct 0% (00:00) wrong based on 4 sessions
Attachment:

#GREpracticequestion In the figure above, if the area of the inscribed.jpg [ 6.53 KiB | Viewed 129 times ]

In the figure above, if the area of the inscribed rectangular region is 32, then the circumference of the circle is

(A) $$20 \pi$$

(B) $$4 \pi \sqrt{5}$$

(C) $$4 \pi \sqrt{3}$$

(D) $$2 \pi \sqrt{5}$$

(E) $$2 \pi \sqrt{3}$$
[Reveal] Spoiler: OA

_________________
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344 [1] , given: 66

Re: In the figure above, if the area of the inscribed rectangula [#permalink]  29 Sep 2017, 07:49
1
This post received
KUDOS
The area of the rectangular is $$x*2x = 32$$, from which we get x = 4 (we exclude x = -4 because a side of a rectangular cannot have a negative length.

Then, using Pitagora's theorem we can find the length of the hypotenuse of the triangle, which is half of the rectangular and we get it equal to $$\sqrt(80) = 4sqrt(5)$$.

Finally, the circumference of the circle is given by $$2r*\pi$$ where 2r is the diameter that in this case equals $$4sqrt(5)$$.

Thus, the circumference is equal to $$4\pi\sqrt(5)$$. Answer B!
Re: In the figure above, if the area of the inscribed rectangula   [#permalink] 29 Sep 2017, 07:49
Display posts from previous: Sort by

# In the figure above, if the area of the inscribed rectangula

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.