Solve the Problem $y = \frac { 1 } { 8 } \cosh 8 x$

Multiple Choice

Solve the problem.
-Consider the area of the region in the first quadrant enclosed by the curve $y = \frac { 1 } { 8 } \cosh 8 x$ , the coordinate axes, and the line $x = 6$ . This area is the same as the area of a rectangle of a length s, where $s$ is the length of the curve from $x = 0$ to $x = 6$ . What is the height of the rectangle?

A) $\frac { 1 } { 8 }$
B) $\sinh 48$
C) $\frac { 1 } { 64 } \sinh 48$
D) 8