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In the figure above, if the area of triangular region \(D\) is \(4,\) what is the length of a side of square region

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Region D.png
In the figure above, if the area of triangular region \(D\) is \(4,\) what is the length of a side of square region \(A?\)

(1) The area of square region \(B\) is \(9.\)
(2) The area of square region \(C\) is \(\dfrac{64}9.\)

Answer: D

Source: Official Guide
Source: — Data Sufficiency |