Question

the area of this rectangle is 3x^2. what does the coefficient 3 mean in terms of the problem? width x length 3x a. the length is 3. b. the total area of the square is 3. c. the length is 3 times the width. d. the width is 3 times the length.

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is $A = l\times w$, where $l$ is length and $w$ is width. Here $w = x$ and $A=3x^{2}$.

Step2: Find the length

Since $A = l\times w$ and $A = 3x^{2}$, $w=x$, then $l=\frac{A}{w}=\frac{3x^{2}}{x}=3x$.

Step3: Analyze the coefficient

The length $l = 3x$ and width $w = x$. So the length is 3 times the width.

Answer:

C. The length is 3 times the width.