Question

find the area. simplify your answer. x + 6 4

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Identify base and height

In the given triangle, the base $b = 4$ and the height $h=x + 6$.

Step3: Substitute values into formula

$A=\frac{1}{2}\times4\times(x + 6)$.

Step4: Simplify the expression

First, $\frac{1}{2}\times4=2$. Then, $2\times(x + 6)=2x+12$.

Answer:

$2x + 12$