50 parents were asked which activities they enrolled their infant in. 20 were enrolled in gymnastics.
8 were enrolled in music only.
20 were enrolled in swimming only.
9 were enrolled in gymnastics and swimming.
7 were enrolled in music and swimming.
6 were enrolled in gymnastics and music.

gymnastics   35

               music       21

               swimming      36

Step-by-step explanation:

gymnastics   35=20+9+6

music   21=8+7+6

swimming   36=20+9+7

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2