the minimum size dance floor that the prom committee is considering 30 by 30 . they assume that this size will allow 100 couples to be on the dance floor at once. how many square feet of dance space per couple does this size allow?

Divide the area by the number of couples.

To calculate the square feet of dance space per couple, we need to divide the total square footage of the dance floor by the number of couples that can be on the floor at once.

The area of the dance floor is given as 30 by 30, which means it has a total area of 30 * 30 = 900 square feet.

The committee assumes that this size can accommodate 100 couples. Therefore, to find the square feet per couple, we need to divide the total dance floor area (900 square feet) by the number of couples (100 couples).

Square feet per couple = Total dance floor area / Number of couples

Square feet per couple = 900 / 100 = 9 square feet

So, the size of the dance floor allows approximately 9 square feet of dance space per couple.