QUESTION 10/10 Aswimming pool is shaped likea rectangle . The pool measures 5 meters by 10 meters. Whatisthedistance inmeters, to swim from one corner of the pool across to the opposite comer? Enteranumber only (no units).Ifyour answeris noto whole number, then round to the nearest hundredth. 1 point Enteranswer here...

## Step 1<br />The problem describes a rectangle, which is a four-sided polygon with opposite sides equal and all angles equal to 90 degrees. The pool measures 5 meters by 10 meters, which means the sides of the rectangle are 5 meters and 10 meters.<br /><br />## Step 2<br />The distance to swim from one corner of the pool across to the opposite corner is the diagonal of the rectangle. In a rectangle, the diagonal can be calculated using the Pythagorean theorem.<br /><br />### **The Pythagorean theorem is given by \(a^2 + b^2 = c^2\)**<br /><br />Here, \(a\) and \(b\) are the sides of the rectangle, and \(c\) is the diagonal.<br /><br />## Step 3<br />Substitute the given values into the Pythagorean theorem.<br /><br />### **So, \(c = \sqrt{5^2 + 10^2}\)**<br /><br />## Step 4<br />Calculate the square of 5 and 10, add them together, and then take the square root.<br /><br />### **This gives \(c = \sqrt{25 + 100} = \sqrt{125}\)**<br /><br />## Step 5<br />The square root of 125 is approximately 11.18. However, the problem asks for the answer to be rounded to the nearest hundredth, so the final answer is 11.18.