turkey-yks 2014 Q35

turkey-yks · Other · ygs Circles Area and Geometric Measurement Involving Circles
ABCD is a square $\mathrm { AF } \perp \mathrm { FB }$ $\mathrm { DE } \perp \mathrm { AF }$ $| E F | = 4 \mathrm {~cm}$
Given that the area of triangle AFB in the figure is $30 \mathrm {~cm} ^ { 2 }$, what is the area of square ABCD in $\mathrm { cm } ^ { 2 }$?
A) 81
B) 100
C) 120
D) 136
E) 144
ABCD is a square\\
$\mathrm { AF } \perp \mathrm { FB }$\\
$\mathrm { DE } \perp \mathrm { AF }$\\
$| E F | = 4 \mathrm {~cm}$

Given that the area of triangle AFB in the figure is $30 \mathrm {~cm} ^ { 2 }$, what is the area of square ABCD in $\mathrm { cm } ^ { 2 }$?\\
A) 81\\
B) 100\\
C) 120\\
D) 136\\
E) 144