If x represents the width of a rectangle and length is four less than three times the width

If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?

A.
4-3x

B.
3-4x

C.
4x-3

D.
3x-4

To find the length of the rectangle in terms of xxx, follow these steps:

  1. Define the variables:
    • Let xxx represent the width of the rectangle.
    • The length is described as being “four less than three times the width.”
  2. Translate the description into an algebraic expression:
    • Three times the width is 3x3x3x.
    • Four less than this amount means you subtract 4 from 3x3x3x.
  3. Formulate the expression:Length=3x−4\text{Length} = 3x – 4Length=3x−4

So, the correct expression that represents the length of the rectangle in terms of xxx is:

D. 3x – 4

Scroll to Top