the minimum size of dance floor that the prom committee is considering is 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? to allow for more dancers, the country club can increase the dimensions of the dance floor in 5 foot increments in either direction;however the committee would like to maintain a square shape.
areapercouple= 30x30/100=9sqft
The second half of the "question" does not ask a question, as I read it.
its asking you to take the measurments u got for the first one and increase the dimensions by 5 foot increments while not changing the shape.
thats pretty much what its telling you to do its not asking u a question.
so can you help me out or no?
To find out how many square feet of dance space per couple the minimum size of the dance floor allows, we need to calculate the total dance floor area and then divide it by the number of couples.
Step 1: Calculate the area of the minimum size dance floor.
Since the minimum size is 30' by 30', the area is calculated by multiplying these sides together: Area = Length x Width = 30' x 30'.
Area = 900 square feet
Step 2: Calculate the number of couples the dance floor can accommodate.
The assumption given is that the minimum size dance floor can accommodate 100 couples at once.
Step 3: Divide the total dance floor area by the number of couples to find the square feet of dance space per couple.
To calculate the square feet of dance space per couple, we need to divide the total dance floor area by the number of couples.
Square feet per couple = Total dance floor area / Number of couples
Square feet per couple = 900 square feet / 100 couples
Square feet per couple = 9 square feet
Thus, the minimum size of the dance floor allows for 9 square feet of dance space per couple.
If the committee decides to increase the dimensions in 5-foot increments while maintaining a square shape, you can follow these incremental calculations to find the square feet of dance space per couple for each size:
- 35'x35' dance floor: Calculate the area (35' x 35'), and then divide by the number of couples.
- 40'x40' dance floor: Calculate the area (40' x 40'), and then divide by the number of couples.
- 45'x45' dance floor: Calculate the area (45' x 45'), and then divide by the number of couples.
- And so on, continuing to increase the dimensions in 5-foot increments.