QuestionAugust 16, 2025

A formula is used in medical field to estimate a person's body surface area. The formula is A=sqrt((h w)/(3600)) , where A is body surface area in square meters, h is height in centimeters, and w is weight in kilograms. Compute the body surface area of a person who is 175 mathrm(~cm) tall and weighs 77 mathrm(~kg) .

A formula is used in medical field to estimate a person's body surface area. The formula is A=sqrt((h w)/(3600)) , where A is body surface area in square meters, h is height in centimeters, and w is weight in kilograms. Compute the body surface area of a person who is 175 mathrm(~cm) tall and weighs 77 mathrm(~kg) .
A formula is used in medical field to estimate a person's body surface area. The formula is A=sqrt((h w)/(3600)) , where A is body surface area in square meters, h is height in centimeters, and w is weight in kilograms. Compute the body surface area of a person who is 175 mathrm(~cm) tall and weighs 77 mathrm(~kg) .

Solution
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Answer

1.935 \, \text{m}^2 Explanation 1. Substitute values into the formula Use ( h = 175 ) cm and ( w = 77 ) kg in \( A=\sqrt{\frac{h w}{3600}} \). 2. Calculate the product of height and weight Compute \( 175 \times 77 = 13475 \). 3. Divide by 3600 Calculate \( \frac{13475}{3600} \approx 3.74306 \). 4. Take the square root Compute \( \sqrt{3.74306} \approx 1.935 \).

Explanation

1. Substitute values into the formula<br /> Use ( h = 175 ) cm and ( w = 77 ) kg in \( A=\sqrt{\frac{h w}{3600}} \).<br />2. Calculate the product of height and weight<br /> Compute \( 175 \times 77 = 13475 \).<br />3. Divide by 3600<br /> Calculate \( \frac{13475}{3600} \approx 3.74306 \).<br />4. Take the square root<br /> Compute \( \sqrt{3.74306} \approx 1.935 \).
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