If the base of the rectangle is increased by
10 %
and the area is unchanged, then the altitude is increased by ?
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The increased base is b + b × 1 0 0 1 0 = 1 0 1 1 b . Similarly the increased altitude must be of the form ( x h ) , where h is the initial values of the altitude.
According to the problem we have ( 1 0 1 1 b ) ( x h ) = b h . Solving it for x , we get x = 1 1 1 0 . Therefore the final altitude after the transformations is 1 1 1 0 h . Increase in altitude is ( i n t i t i a l a l t i t u d e ) ( f i n a l a l t i t u d e ) − ( i n t i t i a l a l t i t u d e ) × 1 0 0 or h ( 1 1 1 0 h ) − h × 1 0 0 = − 9 1 1 1 %. Hence the answer.