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 a height of 2.5 feet. What is the length of the base of his sign?

A. 3 feet
B. 0.6 feet
C. 6 feet
D. 10 feet

1 answer

To find the length of the base of the triangle, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

Since the area is 7.5 square feet and the height is 2.5 feet, we can plug these values into the formula and solve for the base:

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

Therefore, the length of the base of his sign is 6 feet.

Therefore, the answer is C. 6 feet.