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, length $l=x + 5$ and width $w=x + 4$.

Step2: Expand the product

$(x + 5)(x + 4)=x\times x+x\times4+5\times x + 5\times4$.

Step3: Simplify the terms

$x\times x=x^{2}$, $x\times4 = 4x$, $5\times x=5x$, $5\times4 = 20$. Then $x^{2}+4x+5x + 20$.

Step4: Combine like - terms

$4x+5x=9x$, so the area is $x^{2}+9x + 20$.

Answer:

$x^{2}+9x + 20$