Answer:
46.125 square feet or [tex]46\dfrac{1}{8}[/tex] sq. feet.
Step-by-step explanation:
The rug is shaped like a parallelogram with a base of [tex]\frac{41}{2} = 20.5[/tex] feet. and a height of [tex]2\dfrac{1}{4} = 2.25[/tex] feet.
Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.
Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)