To find the length of the diagonal line Leah drew, we can use the Pythagorean theorem. The formula is:
\[ c = \sqrt{a^2 + b^2} \]
where \( c \) is the length of the diagonal, and \( a \) and \( b \) are the lengths of the sides of the rectangle.
In Leah's case:
- \( a = 48 \) feet (length of the driveway)
- \( b = 14 \) feet (width of the driveway)
Now we can calculate \( c \):
\[ c = \sqrt{48^2 + 14^2} \] \[ c = \sqrt{2304 + 196} \] \[ c = \sqrt{2500} \] \[ c = 50 \text{ feet} \]
So, the length of the diagonal line Leah drew is 50 feet.