Answer:
287.875 square feet.
Step-by-step explanation:
Let x be the width ( in feet ) of the dance floor,
∵ the length of a dance floor to be replaced is 1 foot shorter than twice than width.
So, the length of the dance floor = 2x - 1
According to the question,
x = 12.25 ft,
⇒ 2x - 1 = 2(12.25) -1 = 23.5 ft,
Thus, the area of the floor = length × width
= 23.5 × 12.25
= 287.875 square feet.