Answer:
b. (w -4)(w +1)
Step-by-step explanation:
The problem statement asks for an expression for the rug area "based on the width of the room." Looking at the answer choices, we see that the variable "w" is used to represent the width of the room.
The dimensions of the room are its width (w) and its length, which is 5 more than its width (w+5).
The dimensions of the rug are 4 ft smaller in each direction (2 ft on each side), so the width of the rug is w-4, and the length of the rug is w+5-4 = w+1.
The area of the rug is the product of its width and length, so is ...
(w-4)(w+1) . . . . . matches selection B
