Answer:
16sqrt3 in^2
Explanation:
The area of a rectangle is length x width.
This is a special right triangle of 30-60-90 where the smallest leg is half of the hypotenuse and the medium leg is the smallest leg times sqrt3.
So the smallest leg, or the length, would be 8/2, or 4.
The longer leg, or the width, would be 4sqrt3.
We multiply the length and width: 4*4sqrt3=16sqrt3
Therefore, the area would be 16sqrt3 in^2
I hope this helped and have a good rest of your day!