The ‘body mass index’ is used to find the body weight that is appropriate for a person’s height. It is calculated using the formula.
I = W (I = W divided by H squared)
H 2
Where I is the body mass, W is the person’s weight in kg, and H is the person’s height in metres.
If the body mass index is over 25, then the person is classed as overweight. What would be the maximum weight for a person who is 180 cm tall before they are classed as overweight?
1st convert 180 centimeters to meters
25= w/1.80^2
solve for w
25= w/1.8^2
Multiply both sides by 1.8^2
This will cancel on the right and give
25 (1.8^2) = w
Now multiply it out to get
25 ( 3.24)= w
81Kg = w
Anyone over 81 Kg is overweight
To find the maximum weight for a person who is 180 cm tall before they are classified as overweight, we need to use the formula for body mass index (BMI).
1. Convert the height from centimeters to meters:
180 cm = 180/100 = 1.8 meters
2. Use the formula for BMI:
BMI = W / H^2
Where BMI is the body mass index, W is the person's weight in kilograms, and H is the person's height in meters.
3. Rearrange the formula to solve for W (weight) by multiplying both sides by H^2:
BMI * H^2 = W
4. Calculate the maximum weight:
If BMI is over 25, the person is classified as overweight.
Substituting the values into the formula:
BMI = 25
H = 1.8
25 * (1.8^2) = W
Simplifying the equation:
25 * 3.24 = W
81 = W
Therefore, the maximum weight for a person who is 180 cm tall before they are classified as overweight is 81 kg.