Question

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

Explanation:

Step1: Use area formula for rectangle

The length of the rectangle is $(x + 4)$ and the width is $(x+6)$. The area $A$ of a rectangle is $A = \text{length}\times\text{width}$, so $A=(x + 4)(x + 6)$.

Step2: Expand the product

Using the FOIL method: $(x + 4)(x + 6)=x\times x+x\times6+4\times x + 4\times6$.

Step3: Simplify the expression

$x\times x+x\times6+4\times x + 4\times6=x^{2}+6x+4x + 24$.
Combining like - terms $6x$ and $4x$, we get $x^{2}+(6 + 4)x+24=x^{2}+10x + 24$.

Answer:

$x^{2}+10x + 24$