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21 Apr 2020, 03:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:08) correct
40%
(00:55)
wrong
based on 382
sessions
History
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What is the area of the quadrilateral with vertices A, B, C, and D?
(1) The perimeter of ABCD is equal to 16.
(2) Quadrilateral ABCD is a rhombus.
Are You Up For the Challenge: 700 Level Questions
(1) The perimeter of ABCD is equal to 16.
(2) Quadrilateral ABCD is a rhombus.
Are You Up For the Challenge: 700 Level Questions
21 Apr 2020, 04:55
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Bunuel
Question: Area of ABCD = ?
Statement 1:(1) The perimeter of ABCD is equal to 16.
It could be a square with area 16 or a rectangle with sides 2 and 6 i.e. area = 12
NOT SUFFICIENT
Statwment 2: Quadrilateral ABCD is a rhombus.
Sides unknown hence
NOT SUFFICIENT
COmbinig the statements
A rhombus with perimeter may be a square with sides 4 each ie. area 16
or it could be a rhombus (other than square) with area less than 16 hence
NOT SUFFICIENT
Answer: Option E
21 Apr 2020, 05:07
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Statement 1 -
Perimeter = 16
\(0<Area≤ (\frac{16}{4})^2\)
\(0 < Area ≤ 16\)
Insufficient
Statement 2-
We have no idea about any dimension of the rhombus.
Insufficient
Combining both statements
Length of any side of rhombus,\(s = \frac{16}{4} = 4\)
We either need angle between any 2 sides of rhombus or need the length of any diagonal of rhombus to find the area of rhombus.
Area = \(s^2 sin x\), where x is angle between 2 sides of rhombus and it varies from 0 -90.
0 < Area ≤ 16
E
Perimeter = 16
\(0<Area≤ (\frac{16}{4})^2\)
\(0 < Area ≤ 16\)
Insufficient
Statement 2-
We have no idea about any dimension of the rhombus.
Insufficient
Combining both statements
Length of any side of rhombus,\(s = \frac{16}{4} = 4\)
We either need angle between any 2 sides of rhombus or need the length of any diagonal of rhombus to find the area of rhombus.
Area = \(s^2 sin x\), where x is angle between 2 sides of rhombus and it varies from 0 -90.
0 < Area ≤ 16
E
Bunuel
