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?

Responses

A.) 10 feet

B.) 6 feet

C.) 0.6 feet

D.) 3 feet

PLEASE SHOW WORK!!

1 answer

To find the length of the base of the triangle, we can use the formula for the area of a triangle which is 1/2 multiplied by the base multiplied by the height.

Given:
Area = 7.5 square feet
Height = 2.5 feet

Let the length of the base be x feet.

So, we have:
7.5 = 1/2 * x * 2.5
7.5 = 1.25x
x = 7.5 / 1.25
x = 6

Therefore, the length of the base of Ja’Miles' sign is 6 feet, which corresponds to option B.