GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
What is the area of quadrilateral ABCD?
[#permalink]
01 Feb 2019, 11:36
01 Feb 2019, 11:36
Expert Reply
7
Bookmarks
00:00
Question Stats:
56% (01:44) correct
43% (02:17) wrong based on 72 sessions
Hide Show timer Statistics
What is the area of quadrilateral ABCD?
#GREpracticequerstion What is the area of quadrilateral ABC.jpg [ 20.15 KiB | Viewed 10842 times ]
Attachment:
#GREpracticequerstion What is the area of quadrilateral ABC.jpg [ 20.15 KiB | Viewed 10842 times ]
Show: :: OA
38
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
What is the area of quadrilateral ABCD?
[#permalink]
06 Feb 2019, 12:17
06 Feb 2019, 12:17
4
Carcass wrote:
What is the area of quadrilateral ABCD?
Attachment:
#GREpracticequerstion What is the area of quadrilateral ABC.jpg
Show: :: OA
38
Since this is an odd-shaped quadrilateral, there's no convenient area formula we can apply here.
Instead, let's add an extra line to divide the quadrilateral into two TRIANGULAR regions.
Let's find the area of Region #1 first
If we make side AB the base of the triangle, then the height = 10
Area of triangle = (base)(height)/2 = (6)(10)/2 = 30
Now, we'll find the area of Region #2
If we make side AD the base of the triangle, then the height = 4
Area of triangle = (base)(height)/2 = (4)(4)/2 = 8
We get:
TOTAL area of quadrilateral ABCD = 30 + 8 = 38
Answer: 38
Cheers,
Brent
RELATED VIDEO FROM OUR COURSE
Re: What is the area of quadrilateral ABCD?
[#permalink]
06 Feb 2019, 18:40
06 Feb 2019, 18:40
3
Expert Reply
Carcass wrote:
What is the area of quadrilateral ABCD?
Attachment:
The attachment #GREpracticequerstion What is the area of quadrilateral ABC.jpg is no longer available
Show: :: OA
38
Another way is to convert it into a rectangle by extending as shown in the sketch.
Area of quadrilateral is the area of rectangle-areas of two triangle..
Area of the rectangle = \((11-1)*(7-1)=10*6=60\).
Area of the triangle DCF = \(\frac{1}{2}*(11-5)(5-1)=3*4=12\)
Area of the triangle BCE = \(\frac{1}{2}*(11-1)(7-5)=10\)
Hence area of quadrilateral ABCD = 60-12-10=38
Attachments
#GREpracticequerstion What is the area of quadrilateral ABC.jpg [ 14.76 KiB | Viewed 10732 times ]
