To determine the area of a right triangle, you can use the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
Given:
- The height of the triangle is [tex]\( 17 \frac{1}{2} \)[/tex] meters
- The base of the triangle is 40 meters
First, convert the mixed number to an improper fraction or a decimal:
[tex]\[ 17 \frac{1}{2} = 17.5 \text{ meters} \][/tex]
Now, apply the formula for the area of the right triangle:
1. Plug in the given values:
[tex]\[ \text{Area} = \frac{1}{2} \times 40 \times 17.5 \][/tex]
2. Perform the multiplication inside the parentheses first:
[tex]\[ 40 \times 17.5 = 700 \][/tex]
3. Multiply by [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[ \frac{1}{2} \times 700 = 350 \][/tex]
Therefore, the area of the right triangle is:
[tex]\[ 350 \, \text{m}^2 \][/tex]
Among the given multiple choice options, the correct answer is:
[tex]\[ 350 \, \text{m}^2 \][/tex]
