Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
[tex]\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}[/tex]
Since, [tex]\frac{\text{AB}}{ED}=\frac{AC}{DC}[/tex]
[tex]\frac{42}{6}=\frac{x}{(32-x)}[/tex]
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = [tex]\frac{1344}{48}[/tex]
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
