Question

The equation 3600b² = hw represents the relationship among the body surface area b (in square meters), height h (in

centimeters), and weight w (in kilograms) of a person. To the nearest tenth, approximate the body surface area of a person who
is 168 centimeters tall and weighs 60 kilograms.
The body surface area is about (blank)
square meters.

Answer 1

Answer: 0.2 square meters.

Explanation:

We are given the equation:

3600b² = hw

We need to find the value of b, given that h = 168 cm and w = 60 kg.

First, we need to convert the height from centimeters to meters:

h = 168 cm = 1.68 m

Substituting the given values:

3600b² = (1.68)(60)

3600b² = 100.8

b² = 100.8/3600

b² = 0.028

Taking the square root of both sides:

b = √0.028

b ≈ 0.167

Rounding to the nearest tenth:

b ≈ 0.2

Therefore, the body surface area of a person who is 168 centimeters tall and weighs 60 kilograms is about 0.2 square meters.