Question

Triangle C
has a base of 30 feet and a height of 6 feet. Model the area equation for the triangle by decomposing and rearranging to find the area of triangle C
.(1 point)

Answer 1

To find the area of triangle \( C \), we can use the standard formula for the area of a triangle, which is:

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

Given that the base of triangle \( C \) is 30 feet and the height is 6 feet, we can substitute these values into the formula:

\[
\text{Area} = \frac{1}{2} \times 30 \, \text{feet} \times 6 \, \text{feet}
\]

Now, let's perform the calculations step-by-step:

1. Multiply the base and height:
\[
30 \times 6 = 180 \, \text{square feet}
\]

2. Multiply by \(\frac{1}{2}\):
\[
\text{Area} = \frac{1}{2} \times 180 \, \text{square feet} = 90 \, \text{square feet}
\]

Therefore, the area of triangle \( C \) is:
\[
\text{Area} = 90 \, \text{square feet}
\]