Question

find the area. simplify your answer. 2x - 4 4 submit ne done for now area and perimeter in the coordinate plane 1 perimeter and area: changes in scale areas of similar figures surface area of pyramids and cones

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height \). Here, the base \( b = 4 \) and the height \( h=2x - 4 \).

Step2: Substitute the values into the formula

Substitute \( b = 4 \) and \( h = 2x-4 \) into \( A=\frac{1}{2}\times b\times h \). We get \( A=\frac{1}{2}\times4\times(2x - 4) \).

Step3: Simplify the expression

First, \( \frac{1}{2}\times4=2 \). Then, use the distributive property \( a(b + c)=ab+ac \) (here \( a = 2\), \( b=2x\), \( c=-4 \)). So \( A=2\times(2x-4)=2\times2x-2\times4 \).
\( A = 4x-8 \)

Answer:

\(4x - 8\)