On enlarging the rectangle, the proportion or ratio of Length to Height will stay the same.
The ratio of original length to height is 13 : 6
The ratio in enlarged rectangle will stay the same. Let the height of enlarged rectangle is y cm. So we can write:
[tex]13:6=19.5:x \\ \\
\frac{13}{6} = \frac{19.5}{x} \\ \\
x=19.5* \frac{6}{13}=9 [/tex]
Therefore, the height in enlarged rectangle will be 9 cm
