Question

If BMI of a person is 23 and the person'sweight is 210 pounds, what is the height of thisperson?

Answer 1

We have the following:

$\begin{gathered} \text{BMI}=\frac{weight}{height^2} \\ height^2=\frac{weight}{\text{BMI}} \\ height=\sqrt{\frac{weight}{\text{BMI}}} \end{gathered}$

replacing, 210 pounds = 95.25 kg

$\begin{gathered} height=\sqrt{\frac{95.25}{23}}=2.035 \\ \end{gathered}$

therefore, the height is 2.035 meters or 6.67 feet or 80.1 inches