Answer:
Width= 120 ft
Length= 285 ft
Step-by-step explanation:
W= width and (3w-75)= length since it's 75 less than 3 times the width
w+w+(3w-75)+(3w-75)=810
8w-150=810
8w=960
w=120
So the width is 120 ft
Then substitute the 120 in for w in the length
L= 3(120)-75
L=360-75
L=285
So the length is 285 ft
You can check because 120+120+285+285=810, and because 120×3-75=285!
It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So, 
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So, 

= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer:
See picture
Step-by-step explanation: