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505-555 (Easy)|   Geometry|      
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johncena001
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What is the area of rectangular region ABCD ? Updated on: 09 Jun 2019, 21:44
Originally posted by johncena001 on 09 Jun 2019, 18:26.
Last edited by Bunuel on 09 Jun 2019, 21:44, edited 1 time in total.
Edited the question and moved to DS forum.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

87% (01:00) correct 13% (01:28) wrong based on 54 sessions

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What is the area of rectangular region ABCD ?

(1) The length of side AB is 1/3 the length of side BC.
(2) The perimeter of rectangle ABCD is 32.


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I answered B because if perimeter is 2lx2w = 32 couldn't we divide by 2 to get the area? However that is not the correct answer.

Thanks
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C
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MahmoudFawzy
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What is the area of rectangular region ABCD ? 09 Jun 2019, 18:32
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johncena001
What is the area of rectangular region ABCD ?

(1) The length of side AB is 1/3 the length of side BC.
(2) The perimeter of rectangle ABCD is 32.


A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

I answered B because if perimeter is 2lx2w = 32 couldn't we divide by 2 to get the area? However that is not the correct answer.

Thanks
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Let me correct you:
perimeter = 2L + 2W = 32
L + W = 16
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johncena001
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What is the area of rectangular region ABCD ? 09 Jun 2019, 18:42
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Mahmoudfawzy83
johncena001
What is the area of rectangular region ABCD ?

(1) The length of side AB is 1/3 the length of side BC.
(2) The perimeter of rectangle ABCD is 32.


A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

I answered B because if perimeter is 2lx2w = 32 couldn't we divide by 2 to get the area? However that is not the correct answer.

Thanks
Let me correct you:
perimeter = 2L + 2W = 32
L + W = 16
Show more


Thank you, such a careless mistake I made.
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What is the area of rectangular region ABCD ? 09 Jun 2019, 20:58
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johncena001
What is the area of rectangular region ABCD ?

(1) The length of side AB is 1/3 the length of side BC.
(2) The perimeter of rectangle ABCD is 32.


A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

I answered B because if perimeter is 2lx2w = 32 couldn't we divide by 2 to get the area? However that is not the correct answer.

Thanks
Show more
Perimiter is given by 2(l+w) = p
thus l+w =p/2
And area of triangle i s l*w
Thus both statements are needed
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