Answer:
[tex]x=16\frac{2}{3}[/tex]
Step-by-step explanation:
Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:
[tex]\frac{m}{10}=\frac{5}{3}[/tex]
Cross-multiply to get:
[tex]3m=50[/tex]
Thus, m = [tex]\frac{50}{3}[/tex] which is [tex]16\frac{2}{3}[/tex] .
Hope this helps :)
