Two sides of a square are consecutively based upon two straight lines and . Find the area of this square.
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F r o m t h e e q u a t i o n s w e c a n s a y t h a t t w o s t r a i g h t l i n e s a r e p a r a l l e l . S o t h e y o f c o u r s e t w o o p p o s i t e s i d e o f t h e s q u r e . S o t h e i r o r t h o g o n a l d i s t a n c e a r e e q u a l t o t h e l e n g t h o f t h e s i d e s o f t h e s q u r e . S o t h e i r d i s t a n c e i s ( 2 0 − 5 ) / ( 6 2 + 8 2 ) = 1 5 / 1 0 = 1 . 5 . S o a r e a i s 1 . 5 × 1 . 5 = 2 . 2 5