Answer:
-4.2
Step-by-step explanation:
If you could write out the whole problem exactly how it is, I can solve it for you.
I got this on the calculator.
Sin(theeta) = square root(3)/2
theeta = sin inverse [square root (3)/2]
theeta = 60 degrees
as seen from trignometric table
Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,