If x is the childrens ticket

so that means that the adults ticket is
The area of the larger square is x^2
The area of the small square is 3*3 = 9
To find the area of the shaded region you subtract the two values.
x^2 - 9
The factored form of this is (x + 3)(x - 3)
knowed that the 3rd side of a triangle need being greater than the difference of the given two sides length and less that the sum of the given two sides length
so with these knowledge we get
x > (9-6) so x > 3
and
x < (9+6) so x < 15
from these result that the 3rd side length can being choice B. 4 ,C. 7,F. 10,
E. 12,
hope this will help you .
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