Use the formula for the area of a triangle to determine the area of a triangle with base equal to 13 yards and height equal to 5 yards. (1 point)

Question

Responses

65 square yards
65 square yards

18 square yards
18 square yards

32.5 square yards
32.5 square yards

27.5 square yards

Answer 1

The area \( A \) of a triangle can be calculated using the formula:

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

In this case, the base is 13 yards and the height is 5 yards. Substituting these values into the formula gives:

\[ A = \frac{1}{2} \times 13 \times 5 \]

Calculating it step-by-step:

1. Multiply the base by the height: \( 13 \times 5 = 65 \)
2. Divide by 2: \( \frac{65}{2} = 32.5 \)

Therefore, the area of the triangle is:

\[ 32.5 \text{ square yards} \]

So, the correct response is:

32.5 square yards