AAPL wrote:GMAT Prep
The three squares above share vertex \(A\) with \(AF = FE\) and \(AE = ED\). If a point \(X\) is randomly selected from the square region \(ABCD\), what is the probability that \(X\) will be contained in the shaded region?
A. 1/16
B. 1/12
C. 1/4
D. 3/16
E. 1/3
Let AF=FE=1, with the result that AE=ED=2:
As the figure illustrates:
shaded region = 1+1+1 = 3
ABCD = 4*4 = 16
shaded/ABCD = 3/16
The correct answer is
D.
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