Question

find the area. simplify your answer. 2x + 9 2x

Explanation:

Step1: Recall area formula for triangle

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$.

Step2: Identify base and height

The base of the triangle is $2x$ and the height is $2x + 9$.

Step3: Substitute values into formula

$A=\frac{1}{2}\times(2x)\times(2x + 9)$.

Step4: Simplify the expression

First, $\frac{1}{2}\times(2x)=x$. Then $x\times(2x + 9)=2x^{2}+9x$.

Answer:

$2x^{2}+9x$