Question

find the area. simplify your answer.

Explanation:

Step1: Recall the area formula for a parallelogram

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

Step2: Substitute the values into the formula

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Step3: Simplify the expression

Using the rule of exponents \(a^m\times a^n=a^{m + n}\), we have \(x\times2x=2x^{1+1}=2x^{2}\) and \(x\times4 = 4x\). So \(A=2x^{2}-4x\)

Answer:

\(2x^{2}-4x\)