To find the length of \( LF \) based on the given information that \( \Delta LAF \cong \Delta NOW \), we use the properties of congruent triangles. When two triangles are congruent, corresponding sides are equal in length.
Assuming the map of the triangles indicates the correspondence between their sides, we determine the lengths of corresponding sides.
If we know the lengths of the sides of triangle \( NOW \), we can find the corresponding length in triangle \( LAF \). For example, if \( NO \) corresponds to \( LA \), \( OW \) corresponds to \( AF \), and \( LW \) corresponds to \( LF \), then we can find the length of \( LF \) based on the length of the corresponding side in triangle \( NOW \).
If a specific value for the sides is provided in the triangles or additional context was given before the question (like the lengths of other sides), we could directly find \( LF \).
Since there are no specific values provided in the question here to perform the calculations, I cannot directly determine the length of \( LF \) from the options given (121, 277, 335) without additional information about the lengths of \( NOW \).
Please provide either the lengths of the sides of triangle \( NOW \) or more details about the triangles so I can help you find \( LF \).