Answer:
[tex]x=\frac{60}{7}\ units[/tex] or [tex]x=8\frac{4}{7}\ units[/tex]
Step-by-step explanation:
The correct question is
The two rectangles show are similar. Find the value of x
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
[tex]\frac{20}{14}=\frac{x}{6}[/tex]
solve for x
[tex]x=\frac{20}{14}(6)[/tex]
[tex]x=\frac{120}{14}\ units[/tex]
simplify
[tex]x=\frac{60}{7}\ units[/tex]
convert to mixed number
[tex]x=\frac{60}{7}\ units=\frac{56}{7}+\frac{4}{7}=8\frac{4}{7}\ units[/tex]
