To find the area of the wheelchair-accessible parking space, we first need to determine its length based on the information that the width is 60% of its length.
Let \( L \) be the length of the parking space. According to the problem, we have:
\[ \text{Width} = 0.6L \]
We are given that the width is 9 feet. Therefore, we can set up the equation:
\[ 0.6L = 9 \]
To find \( L \), we divide both sides of the equation by 0.6:
\[ L = \frac{9}{0.6} \]
Calculating this gives:
\[ L = 15 \text{ feet} \]
Now that we have both the width and length of the parking space, we can find the area. The area \( A \) of a rectangle is given by the formula:
\[ A = \text{Width} \times \text{Length} \]
Substituting in the values we have:
\[ A = 9 \text{ feet} \times 15 \text{ feet} \]
Calculating this, we find:
\[ A = 135 \text{ square feet} \]
Thus, the area of the wheelchair-accessible parking space is
\[ \boxed{135} \text{ square feet}. \]