turkey-yks 2017 Q61

turkey-yks · Other · lys1-math Sine and Cosine Rules Compute area of a triangle or related figure
ABCD right trapezoid, ABD equilateral triangle\ $[AB]$ // $[DC]$\ $| \mathrm { BF } | = 4 | \mathrm { DF } |$\ $| \mathrm { AB } | = 8$ units
Accordingly, what is the area of right trapezoid ABCE in square units?\ A) $10 \sqrt { 3 }$\ B) $12 \sqrt { 3 }$\ C) $16 \sqrt { 3 }$\ D) $18 \sqrt { 3 }$\ E) $20 \sqrt { 3 }$
ABCD right trapezoid, ABD equilateral triangle\
$[AB]$ // $[DC]$\
$| \mathrm { BF } | = 4 | \mathrm { DF } |$\
$| \mathrm { AB } | = 8$ units

Accordingly, what is the area of right trapezoid ABCE in square units?\
A) $10 \sqrt { 3 }$\
B) $12 \sqrt { 3 }$\
C) $16 \sqrt { 3 }$\
D) $18 \sqrt { 3 }$\
E) $20 \sqrt { 3 }$