Question

The model shows the area (in square units) of each part of a rectangle. Use the model to find the missing values that complete the expression. Explain your reasoning.

Answer 1

Step 1: Firstly we will find the factors of $(2.25x),\left(3\right)$

$$\begin{gathered} 2.25x=1.5\times 1.5\times x \\ 3=1.5.2 \end{gathered}$$
Now the GCF of $(2.25x),\left(3\right)$ is $1.5$

So,

$$\begin{gathered} 2.25x+3=1.5(1.5x)+1.5\left(2\right)\{Rewritetheexpressions\} \\ =1.5(1.5x+2)\{Distributiveproperty\} \end{gathered}$$

Final Answer: