Question

find the area. simplify your answer

Explanation:

Step1: Recall the area formula for a parallelogram

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

Step2: Identify the base and height

From the figure, the base \(b = 6\) and the height \(h=y - 3\).

Step3: Substitute into the formula

Substitute \(b = 6\) and \(h=y - 3\) into \(A = base\times height\), we get \(A=6\times(y - 3)\).

Step4: Simplify the expression

Using the distributive property \(a(b - c)=ab-ac\), where \(a = 6\), \(b=y\), \(c = 3\). So \(A=6y-18\).

Answer:

\(6y - 18\)