If the body weight of an athlete is 90 kg and his Body Mass Index (BMI) is 30 kg/m², then what will be the height of the athlete? 

Concept:

BMI:

• Body mass index is a value derived from the mass and height of a person.
• The BMI is defined as the body mass divided by the square of the body height and is expressed in units of kg/m², resulting from mass in kilograms and height in meters.

Explanation:

Now,

• Given Weight= 90 kg

                    BMI= 30 kg/m²

• We know: 

                    BMI=Weight in kg/height in m²

 Thus,  Height in m²  = weight in kg /BMI kg/m²

                                      = 90kg/30kg/m²

                                      = 3m²

                   Height in m = √3m2

And to get the height in meters we need to root the answer and that will give 1.7320507 m

Thus, 1.7320507 m will be the height of the athlete.

Additional Information:

 BMI table: