Final answer:
The length of the parking lot is 54.615384615 km, assuming the width is 13 km and not km² as stated; if the width is intended to be in km², the problem is unsolvable due to incorrect units.
Step-by-step explanation:
To find the length of the rectangular parking lot, we need to use the formula for the area of a rectangle, which is Area = length × width. We are given the area (710 km²) and the width (13 km), so we can set up the equation: 710 km² = length × 13 km. To solve for the length, divide both sides of the equation by the width: length = 710 km² / 13 km. Simplifying this, we get:
length = 54.615384615 km
However, this length does not match any of the options provided, and given that the units for width should not be km² but rather km, it appears there might be a typo in the question. Assuming the width is correctly 13 km, the length is as calculated above. If the width is meant to be 13 km², the problem cannot be solved as the units are incorrect.