Chapter 1, Problem 57SGR

To determine

To find:

The BMI of different cats when their circumference and leg length are given.

Answer to Problem 57SGR

I cat`s BMI is 18.7, II cat`s BMI is 15.88 and III cat`s BMI is 23.45.

Explanation of Solution

Given information:

Formula for calculating Body mass index (BMI) is given, that uses the circumference around its rib cage and the length of its back leg from knee to ankle as shown in below table:

  

Formula used:

Formula to calculate BMI of different cats is:

  $BMI=\frac{\frac{\text{Circumference}}{0.7062}-\text{leg length}}{0.9156}-\text{leg length}$

Calculation:

Using above formula,

I cat`s $BMI=\frac{\frac{17.5}{0.7062}-40}{0.9156}-4=\frac{24.78-4}{0.9156}-4$

  $\begin{array}{l}=\frac{20.78}{0.9156}-4\\ =22.7-4\\ =18.7\end{array}$

II cat`s $BMI=\frac{\frac{15}{0.7062}-3.5}{0.9156}-3.5=\frac{21.24-3.5}{0.9156}-3.5$

  $\begin{array}{l}=\frac{17.74}{0.9156}-3.5\\ =19.38-3.5\\ =15.88\end{array}$

III cat`s $BMI=\frac{\frac{20.3}{0.7062}-38}{0.9156}-3.8=\frac{28.75-3.8}{0.9156}-3.8$

  $\begin{array}{l}=\frac{24.95}{0.9156}-3.8\\ =27.25-3.8\\ =23.45\end{array}$

Conclusion:

So, by above calculation, I cat`s BMI is found as 18.7, II cat`s BMI as 15.88 and III cat`s BMI as 23.45.