Answer
The nurse can plug in the BMI and the weight into the BMI formula. Then, the nurse can multiply both sides of the equation by $h^2/47$ to get the $h^2$ by itself on one side of the equal sign. Then, the nurse can take the square root of the resulting number to get the patient's height.
5 feet tall
Work Step by Step
BMI of 47, weight of 240
$B = 705w/h^2$
$47=705*240/h^2$
$47=169200/h^2$
$47*h^2/47=169200/h^2*h^2/47$
$h^2=3600$
$\sqrt {h^2} = \sqrt {3600}$
$h=±60$, but we can only have a positive height. Thus, $h=60$ inches.
