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 length times width. Here, length is $(x + 7)$ and width is $(x + 5)$.

Step2: Use FOIL method

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

Step3: Simplify terms

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

Step4: Combine like - terms

$x^{2}+5x+7x + 35=x^{2}+(5 + 7)x+35=x^{2}+12x + 35$.

Answer:

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