Answer:

Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You need to apply the Distributive property on the left member of the equation:

2. Now, you must solve for
, as following:

We know that
sin²x+cos²x=1
so
clear cos x
cos x=(+/-)√[1-sin²x]
in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5
the answer is
cos o=√21/5
The answer to the equation is X = 7
The formula for the area of a square is A=s*s or A=s^2
So we can plug in the area and solve for the side
576=s^2 (square root both sides)
s=24 inches
Since one foot is 12 inches, 24 inches would be 2 feet
Hope this helps