The width of a wheelchair-accessible parking space is 60% of its length. What is the area of the parking space if the width is 9 feet?

1 answer

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

\[ \boxed{135} \text{ square feet}. \]