Solve the Problem $y ^ { 2 } - x ^ { 2 } = 27$

Multiple Choice

Solve the problem.
-The roof of a building is in the shape of the hyperbola $y ^ { 2 } - x ^ { 2 } = 27$ , where $x$ and $y$ are in meters. Determine the distance, w, between the outside walls.
$\mathrm { A } = 11 \mathrm {~m}$

A) $19.4 \mathrm {~m}$
B) $94 \mathrm {~m}$
C) $12.2 \mathrm {~m}$
D) $9.7 \mathrm {~m}$