Actual Area from a Map Scale

A map scale indicates that 4 centimeters of length in the map correspond to 1 kilometer of actual distance. The area of a figure on the map is 40 square centimeters. How many square kilometers of actual area does this represent? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.