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:
- Define the variables:
- Let xxx represent the width of the rectangle.
- The length is described as being “four less than three times the width.”
- Translate the description into an algebraic expression:
- Three times the width is 3x3x3x.
- Four less than this amount means you subtract 4 from 3x3x3x.
- 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