Final answer:
The perimeter of a rectangle with length (6x - 1) and width (2x + 3) is calculated using the formula P = 2l + 2w. By substituting the given expressions into this formula, we find that the perimeter as a variable expression is 16x + 4.
Step-by-step explanation:
The student is asking for help in finding the perimeter of a rectangle where the length and width are expressed as algebraic expressions. Given the length (6x - 1) and width (2x + 3) of the rectangle, the perimeter (P) can be found using the formula P = 2l + 2w, where l is the length and w is the width.
To find the perimeter, simply substitute the given expressions into this formula:
- P = 2(6x - 1) + 2(2x + 3)
- P = 12x - 2 + 4x + 6
- P = (12x + 4x) + (-2 + 6)
- P = 16x + 4
The perimeter of the rectangle as a variable expression is 16x + 4.