Question

Question

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)
Responses

6 feet
6 feet

3 feet
3 feet

0.6 feet
0.6 feet

10 feet

Answer 1

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

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

We know the area is 7.5 square feet and the height is 2.5 feet. Plugging these values into the formula, we have:

\[ 7.5 = \frac{1}{2} \times \text{base} \times 2.5 \]

To solve for the base, first multiply both sides by 2 to eliminate the fraction:

\[ 15 = \text{base} \times 2.5 \]

Next, divide both sides by 2.5:

\[ \text{base} = \frac{15}{2.5} \]

Calculating that gives:

\[ \text{base} = 6 \]

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