Question

find the area. simplify your answer. x + 2 x + 9

Explanation:

Step1: Recall area formula for parallelogram

The area formula for a parallelogram is $A = base\times height$. Here, the base is $x + 9$ and the height is $x + 2$.

Step2: Multiply base and height

We need to multiply $(x + 9)$ and $(x + 2)$. Using the FOIL method: $(x+9)(x + 2)=x\times x+x\times2+9\times x + 9\times2$.

Step3: Simplify the expression

$x\times x+x\times2+9\times x + 9\times2=x^{2}+2x+9x + 18=x^{2}+11x + 18$.

Answer:

$x^{2}+11x + 18$