So here is how we find the answer to this given problem. <span>The formula for area is: A=(l)(w) So, A=(2x)(8-x²)
A=16x-2x³
dA/dx = 16-6x²
then you will use calculus to get the absolute local maximum of x
by letting dA/dx = 0
then wha you will get is x = 2sqrt(6)/3 so the area would be= 64 * sqrt(6) / 9 </span>or 64√<span><span>6/</span>9. Based on the choices given, the answer would be option D. Hope this answer helps.</span>