They are similar rectangles. Therefore, the side lengths are proportional:
[tex]\dfrac{11}{132}=\dfrac{14}{x}\ \ \ \ |\text{cross multiply}\\\\11x=132\cdot14\ \ \ \ |:11\\\\x=\dfrac{132\cdot14}{11}\\\\x=\dfrac{12\cdot14}{1}\\\\x=168[/tex]
Answer: The new height will be equal 168 inches.
