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

 It is currently 15 Oct 2019, 11:53

### 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

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

# Rectangles ABCD and EFGH have equal areas. What is the length of side

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58340
Rectangles ABCD and EFGH have equal areas. What is the length of side  [#permalink]

### Show Tags

19 Dec 2018, 00:33
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:52) correct 10% (00:34) wrong based on 41 sessions

### HideShow timer Statistics

Rectangles ABCD and EFGH have equal areas. What is the length of side FG?

A. 1
B. 2
C. 3
D. 4
E. 6

Attachment:

Capture (2).JPG [ 22.88 KiB | Viewed 631 times ]

_________________
VP
Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Rectangles ABCD and EFGH have equal areas. What is the length of side  [#permalink]

### Show Tags

19 Dec 2018, 00:44
Bunuel wrote:

Rectangles ABCD and EFGH have equal areas. What is the length of side FG?

A. 1
B. 2
C. 3
D. 4
E. 6

Attachment:
Capture (2).JPG

Area of ABCD:

$$a^2 + b^2 =c^2$$

$$8^2 + b^2 = 10^2$$

$$b^2 = 36$$

b =6.

Area = 6*8 =48.

Now we can find out the area of EFGH.

12*x = 48

x =4.

GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4001
Re: Rectangles ABCD and EFGH have equal areas. What is the length of side  [#permalink]

### Show Tags

06 Jul 2019, 08:29
Top Contributor
Bunuel wrote:

Rectangles ABCD and EFGH have equal areas. What is the length of side FG?

A. 1
B. 2
C. 3
D. 4
E. 6

Attachment:
Capture (2).JPG

Since ABCD is a rectangle, we can see we have a right triangle hiding in the diagram.

So, we can use the Pythagorean Theorem (or Pythagorean triplets) to find the length of CD
Once we know that CD = 6, we can find the area of ABCD

Area of rectangle ABCD = (base)(height) = (8)(6) = 48

This means the area of rectangle EFGH = 48
Since rectangle EFGH has a height of 12, we know that its base must have length 4 (since 12 x 4 = 48)

In other words, side FG must have length 4

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: Rectangles ABCD and EFGH have equal areas. What is the length of side   [#permalink] 06 Jul 2019, 08:29
Display posts from previous: Sort by