Question

a rectangle has a height of $3x$ and a width of $2x - 3$. express the area of the entire rectangle. expression should be expanded. $2x$ $-3$ $3x$ area = \boxed{}

Explanation:

Step1: Recall rectangle area formula

Area = height $\times$ width

Step2: Substitute given dimensions

Area = $3x \times (2x - 3)$

Step3: Apply distributive property

$$\begin{align} Area &= 3x \times 2x + 3x \times (-3) \\ &= 6x^2 - 9x \end{align}$$

Answer:

$6x^2 - 9x$