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

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 $x + 7$ and the width is $x+5$.

Step2: Use FOIL method

$(x + 7)(x + 5)=x\times x+x\times5+7\times x + 7\times5$.

Step3: Simplify the expression

$x\times x+x\times5+7\times x + 7\times5=x^{2}+5x+7x + 35=x^{2}+12x + 35$.

Answer:

$x^{2}+12x + 35$