Question

find the area. simplify your answer.

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height \). Here, the base \( b = 8 \) and the height \( h=x + 4 \).

Step2: Substitute the values into the formula

Substitute \( b = 8 \) and \( h=x + 4 \) into \( A=\frac{1}{2}\times base\times height \). We get \( A=\frac{1}{2}\times8\times(x + 4) \).

Step3: Simplify the expression

First, simplify \( \frac{1}{2}\times8 \). Since \( \frac{8}{2}=4 \), the expression becomes \( A = 4\times(x + 4) \). Then, use the distributive property \( a(b + c)=ab+ac \). Here \( a = 4 \), \( b=x \), \( c = 4 \), so \( A=4x+16 \).

Answer:

\(4x + 16\)