Question

the rectangle below has an area of x² - 4x - 12 square meters and a length of x + 2 meters. what expression represents the width of the rectangle? width = meters

Explanation:

Step1: Recall area formula

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

Step2: Express width formula

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

Step3: Substitute given values

$w=\frac{x^{2}-4x - 12}{x + 2}$

Step4: Factor the numerator

$x^{2}-4x - 12=(x - 6)(x+2)$

Step5: Simplify the fraction

$w=\frac{(x - 6)(x + 2)}{x + 2}=x - 6$

Answer:

$x - 6$