Ja'Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in area, and the triangle has height of 2.5 feet. What is the length of the base of his sign?
a. 0.6 feet
b. 10 feet
c. 6 feet
d. 3 feet
To find the length of the base of the triangle, we can use the formula for the area of a triangle:
Area = 0.5 * base * height
Given that the area is 7.5 square feet and the height is 2.5 feet, we can plug in those values and solve for the base:
7.5 = 0.5 * base * 2.5
7.5 = 1.25 * base
base = 7.5 / 1.25
base = 6 feet
Therefore, the length of the base of Ja'Miles' sign is 6 feet.
So the answer is c. 6 feet.