Question

Ja Miles designs a sign 4 a store in da shape of a triangle. His design is 7.5 square feet in area, and da triangle has a height of 2.5 feet. Wut is da length of da base of his sign?

10 feet

6 feet

0.6 feet

3 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 are given:
- Area = 7.5 square feet
- Height = 2.5 feet

Let \( b \) be the length of the base. Plugging in the values we have:

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

Multiplying both sides by 2 to eliminate the fraction:

\[
15 = b \times 2.5
\]

Now, solve for \( b \):

\[
b = \frac{15}{2.5}
\]

Calculating the right-hand side:

\[
b = 6
\]

So, the length of the base of the sign is \( 6 \) feet.

The answer is **6 feet**.