Find the area of a triangle whose height is 2x and base is 2x + 2.

Answer:[tex]2x^{2}+2x[/tex]
Step-by-step explanation:
1. You must apply the formula for calculate the area of a triangle, which is shown below:
[tex]Area=\frac{base*height}{2}[/tex]
2. You know the height and the base, which are given in the problem. Then, you only need to substitute them into the equation shown above and simplify it, as following:
[tex]Area=\frac{2x(2x+2)}{2}[/tex]
[tex]Area=x(2x+2)\\Area=2x^{2}+2x[/tex]