Question

find the area. simplify your answer. 3x + 8 2x

Explanation:

Step1: Recall area formula for triangle

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is $2x$ and the height is $3x + 8$.

Step2: Substitute values into formula

$A=\frac{1}{2}\times(2x)\times(3x + 8)$.

Step3: Simplify the expression

First, $\frac{1}{2}\times2x=x$. Then $x(3x + 8)=3x^{2}+8x$.

Answer:

$3x^{2}+8x$