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?(1 point)
The length of the base of the sign is 6 feet.
To find the length of the base, we can use the formula for the area of a triangle:
Area = (1/2) x base x height
We know that the area is 7.5 square feet and the height is 2.5 feet, so we can plug those values into the formula:
7.5 = (1/2) x base x 2.5
Simplifying, we can multiply both sides by 2:
15 = base x 2.5
Dividing both sides by 2.5:
base = 6
To find the length of the base of the sign, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
Given:
Area = 7.5 square feet
Height = 2.5 feet
Substituting these values into the formula:
7.5 = (1/2) * base * 2.5
To find the value of the base, isolate it by dividing both sides of the equation by (1/2) * 2.5:
7.5 / (1/2) * 2.5 = base
Simplifying:
7.5 / (1/2) * 2.5 = base
15 = base
Therefore, the length of the base of Ja'Miles' sign is 15 feet.