Question

a rectangular pool at andys gym measures 25 m by 50 m. how far would andy swim if he swims across the pool diagonally?

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 25\) and \(b=50\). So we have \(25^{2}+50^{2}=c^{2}\).

Step2: Calculate \(25^{2}\) and \(50^{2}\)

\(25^{2}=625\) and \(50^{2}=2500\). Then \(625 + 2500=c^{2}\), so \(c^{2}=3125\).

Step3: Find \(c\)

\(c=\sqrt{3125}\approx55.9\) (rounded to one decimal place).

Answer:

\(55.9\space m\)