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Mathematics-Online problems:

Interactive Problem 1116: Subareas of a Rectangle

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The figure shows a rectangle that is divided into four subareas by two straight lines.

\includegraphics[width=0.5\linewidth]{TdM_07_A2_bild1}

a)        Find the equations of the dividing straight lines and determine the point of intersection.

b)        Compute the areas of the subareas.


Answer:

a)        $ g : y =$ $ + x / $
            $ h : y =$ $ \big(x -$ $ \big)$
            Point of intersection: $ x = $     $ y = $

b)     $ a $ =
  $ b $ =
  $ c $ =
  $ d $ =

(The results should be correct to four decimal digits.)


   

(From: Mathematics Contest 2007)
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  automatically generated: 2/ 6/2018