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Sagot :
Triangle MNP is similar to triangle XYZ, so ratio of corresponding are equal.
[tex]\frac{MN}{XY}=\frac{NP}{YZ}[/tex]Subtitute the length of sides in the equation to determine the side XY.
[tex]\begin{gathered} \frac{16}{XY}=\frac{12}{3} \\ XY=\frac{16}{4} \\ XY=4 \end{gathered}[/tex]Determine the area of triangle XYZ.
[tex]\begin{gathered} A=\frac{1}{2}\cdot XY\cdot YZ \\ =\frac{1}{2}\cdot4\cdot3 \\ =\frac{12}{2} \\ =6 \end{gathered}[/tex]So area of triangle XYZ is 6 square units.
Option A is correct answer.
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