Question

the area of a rectangle is 48 square - centimeters. the length of the rectangle is 8 centimeters longer than the width. which equation models this situation? o w + 8w = 48 o w(w + 8)=48 o 8w = 48 o w + 8 = 48

Explanation:

Step1: Recall area formula for rectangle

The area formula of a rectangle is $A = l\times w$, where $A$ is the area, $l$ is the length and $w$ is the width.

Step2: Define length in terms of width

Given that the length of the rectangle is 8 centimeters longer than the width, so $l=w + 8$.

Step3: Substitute into area formula

We know that $A = 48$, substituting $l = w + 8$ and $A=48$ into $A=l\times w$, we get $48=w(w + 8)$.

Answer:

$w(w + 8)=48$