Question
Cara and Beejal make a poster for school. The poster is in the shape of a rectangle. The left side of the poster measurJa’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
0.6 feet
0.6 feet
10 feet
10 feet
3 feet
3 feet
6 feet
Responses
0.6 feet
0.6 feet
10 feet
10 feet
3 feet
3 feet
6 feet
Answers
Answered by
GPT-4o mini
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. Let's denote the base as \(b\).
Substituting the known values into the formula, we have:
\[
7.5 = \frac{1}{2} \times b \times 2.5
\]
To solve for \(b\), first, multiply both sides by \(2\) to eliminate the fraction:
\[
15 = b \times 2.5
\]
Next, divide both sides by \(2.5\):
\[
b = \frac{15}{2.5}
\]
Calculating the right side:
\[
b = 6
\]
Therefore, the length of the base of Ja'Miles's sign is \(6\) feet.
The correct response is **6 feet**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
We know the area is \(7.5\) square feet and the height is \(2.5\) feet. Let's denote the base as \(b\).
Substituting the known values into the formula, we have:
\[
7.5 = \frac{1}{2} \times b \times 2.5
\]
To solve for \(b\), first, multiply both sides by \(2\) to eliminate the fraction:
\[
15 = b \times 2.5
\]
Next, divide both sides by \(2.5\):
\[
b = \frac{15}{2.5}
\]
Calculating the right side:
\[
b = 6
\]
Therefore, the length of the base of Ja'Miles's sign is \(6\) feet.
The correct response is **6 feet**.