Question

Physicians can approximate the Body Surface Area of an adult (in square meters) using an index called \(B S A\) where \(H\) is height in centimeters and \(W\) is weight in kilograms. Body Surface Area: \(\sqrt{\frac{H W}{3600}}\) Find the \(B S A\) of a person who is 180 centimeters tall and weighs 75 kilograms.

Short answer

The BSA (Body Surface Area) of a person who is 180 centimeters tall and weighs 75 kilograms is approximately 1.94 square meters.

Step-by-step solution

Identify the Given Values

The height (\(H\)) of the person is given as 180 centimeters and the weight (\(W\)) of the person is given as 75 kilograms.

Substitute the Values into the Formula

Substitute the given values of \(H = 180\) cm and \(W = 75\) kg into the formula for the Body Surface Area. This gives \(BSA = \sqrt{\frac{H W}{3600}} = \sqrt{\frac{180 \cdot 75}{3600}}\).

Compute the Value of the Numerator

Compute the value of the numerator in the square root, which is the product of \(H\) and \(W\), which equals \(180 \cdot 75 = 13500\).

Compute the Value Inside the Square Root

Compute the value inside the square root, which is the result of dividing 13500 by 3600. This equals \( \frac{13500}{3600} ≈ 3.75 \).

Compute the Final Value of BSA

Compute the final value by taking the square root of 3.75. Which equals approximately 1.94 square meters.