Calculate the BMI and Estimated Body Fat % for the following scenarios using these formulas. Show all work.

Question

BMI:

Weight (kg)/ Height (m)²

Conversions:

Height in inches X 0.0254 = Height in Meters

Weight in lbs/2.2= Weight in Kg 

Estimated Body Fat % using BMI:

Adult Body Fat % = (1.20 x BMI) + (0.23 x Age) - (10.8 x gender) - 5.4

Male=1 Female=0

1.    26-year-old male football player. Height: 6’6” Weight: 305 lbs

2.    35-year-old mother of three. Height: 5’6” Weight: 160 lbs

3.    19-year-old female gymnast: Height: 5’4” Weight: 100 lbs

4.    55-year-old male business executive: Height: 6’0” Weight: 180 lbs

Answer 1

This is simply a substitution problem. I will do the first one as an example

26-year-old male football player. Height: 6’6” Weight: 305 lbs

Age = 26

gender = 1

Height = 6 feet (12 inches/1 ft) = 72 inches Convert whole number of feet into inches

72 inches + 6 inches = 78 inches Add remaining inches

78 inches x 0.0254 = 1.98 meters Convert to meters

Weight = 305 lbs /2.2 = 138.6 kg

BMI = Weight (kg)/ Height (m)² = 138.63 kg/(1.98m)² = 35.4

Adult Body Fat % = (1.20 x BMI) + (0.23 x Age) - (10.8 x gender) - 5.4

= (1.20 x 35.4) + (0.23 x 26) - (10.8 x 1) - 5.4 = 32.26%

Let me know if you have any questions on the other ones.