Question

find the area. simplify your answer. 3x 2x

Explanation:

Step1: Recall the area formula for a parallelogram

The area formula for a parallelogram is \(A = base\times height\).

Step2: Identify the base and height

From the figure, the base \(b = 2x\) and the height \(h=3x\).

Step3: Substitute into the formula

Substitute \(b = 2x\) and \(h = 3x\) into \(A=b\times h\), we get \(A=(2x)\times(3x)\).
Using the rule of exponents \(a^m\times a^n=a^{m + n}\) and the commutative property of multiplication \((2\times3)\times(x\times x)\).
Since \(2\times3 = 6\) and \(x\times x=x^{1+1}=x^{2}\), so \(A = 6x^{2}\).

Answer:

\(6x^{2}\)