Final answer:
The area of the rectangular garden is represented by the expression w(2x - 7), where the length is 2x - 7 and the width is w.
Step-by-step explanation:
To find the area of the rectangular garden with a length modeled by the expression 2x - 7 and a width of w, you need to use the formula for the area of a rectangle, which is length times width.
The area, A, can be represented as:
A = length × width
Plugging in the expressions given for the length and width:
A = (2x - 7) × w
This expression can also be written as:
A = w(2x - 7)
Therefore, the correct answer is option B) w(2x - 7).