A) 8
B) \[4+4\sqrt{3}\]
C) 4
D) \[4\sqrt{3}\]
Correct Answer: D
Solution :
Each interior angle \[=\left( \frac{2n-4}{n} \right)90{}^\circ \] \[=\frac{2\times 6-4}{6}\times 90{}^\circ =120{}^\circ \] \[\therefore \]\[\angle FAM=60{}^\circ \] \[\angle AFM=30{}^\circ \] From \[\Delta \]AMF, FM=AF cos \[30{}^\circ \] \[=2\times \frac{\sqrt{3}}{2}=\sqrt{3}\]feet \[\therefore \]BF = \[2\sqrt{3}\]feet, BC = 2 feet \[\therefore \] Area of rectangle \[=2\times 2\sqrt{3}\]\[=4\sqrt{3}\] sq. feetYou need to login to perform this action.
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