Question

find the area. simplify your answer.
3x - 5
3x

Explanation:

Step1: Recall the area formula for a parallelogram

The area formula for a parallelogram is \(A = base\times height\). Here, the base \(b = 3x\) and the height \(h=3x - 5\).

Step2: Substitute the values into the formula

Using the formula \(A=b\times h\), we substitute \(b = 3x\) and \(h = 3x-5\). So, \(A=3x\times(3x - 5)\).

Step3: Expand the expression

Using the distributive property \(a(b - c)=ab-ac\) (where \(a = 3x\), \(b = 3x\), \(c = 5\)), we get \(A=(3x\times3x)-(3x\times5)\).
\(A = 9x^{2}-15x\).

Answer:

\(9x^{2}-15x\)