Question

question 4 2 pts express the area of the entire rectangle. your answer should be a polynomial in standard form. area =

Explanation:

Step1: Recall area formula for rectangle

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 $x + 4$ and the width is $x + 2$.

Step2: Use FOIL method

$(x + 4)(x + 2)=x\times x+x\times2 + 4\times x+4\times2$.

Step3: Simplify the expression

$x^{2}+2x + 4x+8=x^{2}+6x + 8$.

Answer:

$x^{2}+6x + 8$