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In square ABCE, AB = 4.
[#permalink]
30 Aug 2020, 09:17
30 Aug 2020, 09:17
Expert Reply
00:00
Question Stats:
72% (00:27) correct
27% (00:31) wrong based on 40 sessions
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Attachment:
GRE In square ABCE, AB = 4.png [ 23.41 KiB | Viewed 4099 times ]
In square ABCE, AB = 4.
Quantity A |
Quantity B |
24 |
The perimeter of polygon ABCDE |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In square ABCE, AB = 4.
[#permalink]
14 Sep 2020, 05:37
14 Sep 2020, 05:37
1
Carcass wrote:
Attachment:
GRE In square ABCE, AB = 4.png
In square ABCE, AB = 4.
Quantity A |
Quantity B |
24 |
The perimeter of polygon ABCDE |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Since ABCE is a square, all 4 sides are equal length.
So, if side AB = 4, we also know that side CE = 4
Since all three angles in triangle ECD are 60°, we know that triangle ECD is an equilateral triangle, which means all 3 sides have equal length.
So, if side CE = 4, then the other two sides must also have length 4.
Polygon ABCDE has 5 sides, and each side has length 4.
So, the perimeter of polygon ABCDE = (5)(4) = 20
We get:
Quantity A: 24
Quantity B: 20
Answer: A
Cheers,
Brent
gmatclubot
Re: In square ABCE, AB = 4. [#permalink]
14 Sep 2020, 05:37
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