Questions: If a rectangle is r feet long and s feet wide, which expression represents the length of its diagonal in terms of r and s?

Solution Steps

We need to find the length of the diagonal of a rectangle with length \( r \) and width \( s \).

The diagonal of a rectangle can be found using the Pythagorean theorem. For a rectangle with sides \( r \) and \( s \), the diagonal \( d \) is given by: \[ d = \sqrt{r^2 + s^2} \]

Substitute \( r = 3 \) and \( s = 4 \) into the formula: \[ d = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} \]

Calculate the square root: \[ d = \sqrt{25} = 5.0 \]

Final Answer