Question

find the area. simplify your answer:

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A=\frac{1}{2}\times\text{base}\times\text{height} \). Here, the base is \( 2x \) and the height is \( x + 3 \).

Step2: Substitute values into formula

Substitute base \( = 2x \) and height \( = x + 3 \) into the formula: \( A=\frac{1}{2}\times(2x)\times(x + 3) \).

Step3: Simplify the expression

First, simplify \( \frac{1}{2}\times(2x) \) which equals \( x \). Then multiply by \( (x + 3) \): \( x(x + 3)=x^{2}+3x \).

Answer:

The area of the triangle is \( x^{2}+3x \).