To find the area of the front facade of an A-frame house, let's follow these steps:
1. Understand the Shape: The front facade of an A-frame house is typically a triangle.
2. Identify the Dimensions: We are given the base (width) and the height of the triangle:
- Width (base) = 30 feet
- Height = 20 feet
3. Formula for the Area of a Triangle: The area [tex]\( A \)[/tex] of a triangle can be computed using the formula:
[tex]\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\][/tex]
4. Substitute the Values:
[tex]\[
A = \frac{1}{2} \times 30 \text{ feet} \times 20 \text{ feet}
\][/tex]
5. Calculate the Area:
[tex]\[
A = \frac{1}{2} \times 30 \times 20 = \frac{1}{2} \times 600 = 300 \text{ square feet}
\][/tex]
Therefore, the area of the facade is [tex]\( 300 \)[/tex] square feet.
So, the correct answer is:
300 SF
