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D e a r s t u d e n t, 1 . S i d e o f t h e s q u a r e = 8 c m D i a g o n a l = \sqrt{l^{2} + l^{2}} = \sqrt{2 l^{2}} = l \sqrt{2} = 8 \sqrt{2} c m o p t i o n A i s c o r r e c t . 2 . A r e a o f e q u i l a t e r a l t r i a n g l e = \frac{\sqrt{3}}{4} a^{2} H e r e, a = 8 A r e a = \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times {(8)}^{2} = \frac{\sqrt{3}}{4} \times 8 \times 8 = 16 \sqrt{3} c m^{2} o p t i o n B i s c o r r e c t . 3 . A r e a o f e q u i l a t e r a l t r i a n g l e = \frac{\sqrt{3}}{4} a^{2} H e r e, a = 8 \sqrt{2} A r e a = \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times {(8 \sqrt{2})}^{2} = \frac{\sqrt{3}}{4} \times 8 \times 8 \times 2 = 32 \sqrt{3} c m^{2} o p t i o n C i s c o r r e c t . F o r r e m a i n i n g q u e r i e s w e r e q u e s t y o u t o p o s t t h e m i n s e p a r a t e t h r e a d s t o h a v e r a p i d a s s i s \tan c e f r o m o u r e x p e r t s . R e g a r d s

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