express the area of the entire rectangle. your answer should be a polynomial in standard form.\narea =
express the area of the entire rectangle. your answer should be a polynomial in standard form.\narea =
Answer
Answer:
$x^{2}+11x + 18$
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
$x^{2}+2x+9x + 18=x^{2}+(2x + 9x)+18=x^{2}+11x + 18$.