Respuesta :

Answer:

Step-by-step explanation:

base = 2x - 4 = 2*x -2*2 = 2( x - 2) in

Height = 3 in

[tex]Area=\frac{1}{2}base *height\\\\=\frac{1}{2}*2(x-2) * 3\\\\=(x - 2)*3[/tex]

= (3x - 6) square inches

Answer:

The area of the triangle is (3x-6) in² .

Step-by-step explanation:

You have to apply area of triangle formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Then, you have to substitute the following expressions into the formula :

[tex]let \: base = 2x - 4 \\ let \: height = 3[/tex]

[tex]area = \frac{1}{2} \times (2x - 4) \times 3[/tex]

[tex]area = \frac{3}{2} \times (2x - 4)[/tex]

[tex]area = \frac{6}{2} x - \frac{12}{2} [/tex]

[tex]area = (3x - 6) \: {in}^{2} [/tex]