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The table shows the area of two rugs a preschool teacher has in her room. She places the two rugs together to make one big rug.Blue=8(X+1/2Red=10(X+2/5What is the area in square units of the new rug, in factored form?

The Table Shows The Area Of Two Rugs A Preschool Teacher Has In Her Room She Places The Two Rugs Together To Make One Big RugBlue8X12Red10X25What Is The Area In class=

Sagot :

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)

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