The measure of the side AB is 6 units, the correct option is A.
Given
Rectangle ABCD was dilated to create rectangle A'B'C'D.
Triangle A B C D is dilated to form triangle A prime B prime C prime D.
Side BC is 3.8 units.
Side A prime B prime is 15 units and side B prime C prime is 9.5 units.
A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.
Here A'B'C'D is a dilation of ABCD, then the following relationship must exist:
[tex]\rm A'B' ; \ AB = B'C' ;\ BC\\\\15; AB =9.5 ; \ 3.8\\\\\dfrac{AB}{15}=\dfrac{3.8}{9.5}\\\\AB =\dfrac{3.8 \times 15}{9.5}\\\\ AB =\dfrac{57}{9.5}\\\\AB =6 \ units[/tex]
Hence, the measure of the side AB is 6 units.
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