Question

express the area of the entire rectangle. your answer should be a polynomial in standard form.
area =

Explanation:

Step1: Recall area formula

The area of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, the length of the rectangle is $(x + 9)$ and the width is $(x + 2)$.

Step2: Expand the product

$(x + 9)(x + 2)=x\times x+x\times2+9\times x + 9\times2$.

Step3: Simplify the expression

$x^{2}+2x+9x + 18=x^{2}+(2x + 9x)+18=x^{2}+11x + 18$.

Answer:

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