Question

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

Explanation:

Step1: Recall area formula for rectangle

$A = l\times w$

Step2: Identify length and width

Length $l=x + 9$, width $w=x + 2$

Step3: Multiply the binomials

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

Step4: Simplify the expression

$x^{2}+2x+9x + 18=x^{2}+11x + 18$

Answer:

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