Question

The table shows the area of two words a preschool teacher has in her room she places the to work together to make one big world what is the area in the square units of the new rug

Answer 1

The area of the two rugs together is

$\text{Blue}+\text{ Red}$$8(x+\frac{1}{2})+10(x+\frac{2}{5})$

We will expand it

$8x+4+10x+4$

Then we simplify

$18x+8$

In the factored form we have a common factor in this case 2, therefore the factored form is

$2(9x+4)$