The area of blue rug is 8(x + 1/2).
The area of red rug is 10(x + 2/5).
The total area will be :
[tex]\begin{gathered} 8(x+\frac{1}{2})+10(x+\frac{2}{5})=(8x+4)+(10x+4) \\ =8x+4+10x+4 \\ =18x+8 \end{gathered}[/tex]
Factor out 18 :
[tex]\begin{gathered} 18x+8\Rightarrow18(x+\frac{8}{18}) \\ \Rightarrow18(x+\frac{4}{9}) \end{gathered}[/tex]
The answer is 18(x + 4/9)
