To find the length of the base of a triangle when you know the area and the height, you can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given:
- Area = 7.5 square feet
- Height = 2.5 feet
Plugging the values into the formula:
\[ 7.5 = \frac{1}{2} \times \text{base} \times 2.5 \]
To eliminate the fraction, multiply both sides of the equation by 2:
\[ 15 = \text{base} \times 2.5 \]
Now, divide both sides by 2.5 to solve for the base:
\[ \text{base} = \frac{15}{2.5} = 6 \]
So, the length of the base of Ja’Miles' sign is 6 feet.