Without Using a Calculator, Give the Exact Trigonometric Function Value $\sqrt { 6 } s ^ { 2 }$

Multiple Choice

Without using a calculator, give the exact trigonometric function value with rational denominator.
-Find a formula for the area of the figure in terms of s.

A) $\sqrt { 6 } s ^ { 2 }$
B) $\frac { \sqrt { 6 } } { 4 } s ^ { 2 }$
C) $\frac { \sqrt { 3 } } { 2 } \mathrm {~s} ^ { 2 }$
D) $\frac { \sqrt { 3 } } { 6 } \mathrm {~s} ^ { 2 }$