Question

Find the area of a triangle with a base of 8 yd and a height of 19.1 yd.


Choose the best answer from the options below:
A 13.6 yd 2
B 305.6 yd 2
C 152.8 yd 2
D 76.4 yd 2

Answer 1

To find the area of a triangle, you can use the formula:

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

In this case, the base is 8 yards and the height is 19.1 yards. Plugging in these values:

\[
\text{Area} = \frac{1}{2} \times 8 \, \text{yd} \times 19.1 \, \text{yd}
\]

Calculating this step by step:

1. Calculate the product of the base and height:
\[
8 \times 19.1 = 152.8
\]

2. Now, multiply by \(\frac{1}{2}\):
\[
\text{Area} = \frac{1}{2} \times 152.8 = 76.4 \, \text{yd}^2
\]

Thus, the area of the triangle is **76.4 yd²**.

The best answer from the options provided is:
**D 76.4 yd²**.