The room is not in shape of a square but a rectangle.
Question says Length is: 19 inches
Diagonal is: 20.6 inches
In a square all sides are equal
Rectangle has just two sides equal
Answer:
x is approximately 2.220744
Step-by-step explanation:
This can be simplified a little using properties of logarithms, and then solve it by graphing:

So we use a graphing tool to find the intersection point of the graph of
, and the graph of 
Please see attached image for the graph and solution.
The value of x is approximately 2.220744
The width of the rectangle is 15in
The formula for angular frequency is:
ω = velocity/radius
Since we are given distance(8.0m) and time(11 seconds) , we can also express the formula as:
ω = distance/(radius)(time)
Substituting the given values:
8.0m/(0.241m)(11s)
Which would give us the answer of 3.03 seconds.
Hope this answer helps.