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13 May 2021, 23:00
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C
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Difficulty:
35%
(medium)
Question Stats:
59% (00:55) correct
41%
(00:51)
wrong
based on 101
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If the perimeter of quadrilateral ABCD is 4, what is its area?
(1) All four sides of ABCD are of equal length.
(2) All four internal angles of ABCD are right angles.
(1) All four sides of ABCD are of equal length.
(2) All four internal angles of ABCD are right angles.
22 May 2021, 05:00
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If the perimeter of quadrilateral ABCD is 4, what is its area?
(1) All four sides of ABCD are of equal length --> this implies that ABCD is a square (area = 1) or a rhombus (area < 1). Not sufficient.
(2) All four internal angles of ABCD are right angles --> this implies that ABCD is a square (area = 1) or a rectangle. Not sufficient.
(1)+(2) ABCD is a square --> the area = 1. Sufficient.
Answer: C.
(1) All four sides of ABCD are of equal length --> this implies that ABCD is a square (area = 1) or a rhombus (area < 1). Not sufficient.
(2) All four internal angles of ABCD are right angles --> this implies that ABCD is a square (area = 1) or a rectangle. Not sufficient.
(1)+(2) ABCD is a square --> the area = 1. Sufficient.
Answer: C.
General Discussion
13 May 2021, 23:11
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Here is my approach
(1) All four sides of ABCD are of equal length.
=> ABCD can be a rhombus or square
Having: Perimeter of ABCD is 4 => AB = BC = CD = DA = 4/4 = 1.
=> Can't find the diagonals
=> Insufficient
(2) All four internal angles of ABCD are right angles.
=> ABCD is square or rectangle
=> Insufficient
(1) + (2) => ABCD is square => Area of ABCD = 2*2= 4=> Hence choose C
Posted from my mobile device
(1) All four sides of ABCD are of equal length.
=> ABCD can be a rhombus or square
Having: Perimeter of ABCD is 4 => AB = BC = CD = DA = 4/4 = 1.
=> Can't find the diagonals
=> Insufficient
(2) All four internal angles of ABCD are right angles.
=> ABCD is square or rectangle
=> Insufficient
(1) + (2) => ABCD is square => Area of ABCD = 2*2= 4=> Hence choose C
Posted from my mobile device
