High School

The body surface area of a person in square meters can be modeled by:

[tex]\[ A = \frac{\sqrt{h} \cdot \sqrt{w}}{56} \][/tex]

where [tex] A [/tex] is the surface area, [tex] h [/tex] is the height of the person in inches, and [tex] w [/tex] is the weight of the person in pounds.

Use the model to find the surface area of a person who is 63 inches tall and weighs 172 pounds.

Surface area = [tex]\(\square\)[/tex] [tex]\(m^2\)[/tex]

Enter your next step here:

Answer :

To find the body surface area of a person who is 63 inches tall and weighs 172 pounds using the given model, follow these steps:

1. Identify the variables:
- Height, [tex]\( h = 63 \)[/tex] inches
- Weight, [tex]\( w = 172 \)[/tex] pounds

2. Plug these values into the formula:

The formula for the body surface area [tex]\( A \)[/tex] is given by:
[tex]\[
A = \frac{\sqrt{h} \cdot \sqrt{w}}{56}
\][/tex]

3. Calculate [tex]\( \sqrt{h} \)[/tex] and [tex]\( \sqrt{w} \)[/tex]:
- Calculate the square root of the height: [tex]\( \sqrt{63} \)[/tex].
- Calculate the square root of the weight: [tex]\( \sqrt{172} \)[/tex].

4. Multiply the square roots:
- Multiply [tex]\( \sqrt{63} \)[/tex] and [tex]\( \sqrt{172} \)[/tex] together.

5. Divide by 56:
- Take the result of the multiplication and divide it by 56.

After performing these calculations, the surface area of the person is approximately 1.86 square meters.

Surface area [tex]\( \approx 1.86 \, \text{m}^2 \)[/tex]