Question

the area of this rectangle is 3x². what does the coefficient 3 mean in terms of the problem? width x length 3x a. the total area of the square is 3. b. the length 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 $A = \text{length}\times\text{width}$. Here, width is $x$ and length is $3x$, and $A=3x\times x = 3x^{2}$.

Step2: Analyze the coefficient 3

The coefficient 3 in the length expression $3x$ shows the relationship between length and width. Since length is $3x$ and width is $x$, the length is 3 times the width.

Answer:

C. The length is 3 times the width.