Question

the rectangle below has an area of $x^{2}-16$ square meters and a width of $x + 4$ meters. what expression represents the length of the rectangle? length = meters

Explanation:

Step1: Recall area formula

$A = l\times w$ (where $A$ is area, $l$ is length, $w$ is width)

Step2: Rearrange for length

$l=\frac{A}{w}$

Step3: Factor the area expression

$x^{2}-16=(x + 4)(x - 4)$ (using $a^{2}-b^{2}=(a + b)(a - b)$ with $a=x$ and $b = 4$)

Step4: Calculate length

$l=\frac{(x + 4)(x - 4)}{x + 4}=x - 4$ (assuming $x
eq - 4$)

Answer:

$x - 4$