the length of a rectangle is three times the width. the area of the rectangle is 108 sq in. what is the…

Explanation:

Step1: Let the width be $x$.

Let the width of the rectangle be $x$ inches. Then the length is $3x$ inches.

Step2: Set up the area - formula equation.

The area formula of a rectangle is $A = length\times width$. Given $A = 108$ square - inches, so $3x\times x=108$, which simplifies to $3x^{2}=108$.

Step3: Solve the equation for $x$.

Divide both sides of the equation $3x^{2}=108$ by 3: $x^{2}=\frac{108}{3}=36$. Then take the square - root of both sides. Since $x$ represents a length (a non - negative quantity), $x = 6$ inches.

Answer:

A. 6 in.