Ja’Miles designs this sign for a store in the shape of a triangle. His design is 7.5 ft.² in an area, and the triangle has a height of 2.5 feet. What is the length of the base of his sign?

To find the length of the base of the sign, we need to use the formula for the area of a triangle:

Area = 1/2 * base * height

Given that the area is 7.5 ft² and the height is 2.5 feet, we can plug these values into the formula:

7.5 = 1/2 * base * 2.5
7.5 = 1.25 * base
base = 7.5 / 1.25
base = 6

Therefore, the length of the base of Ja'Miles' sign is 6 feet.