The line 2x+3y=12 meets the x-axis at A ...

The line `2x+3y=12` meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

`20/3` sq. units

`(23)/(3)` sq. units

`(26)/(3)`sq. units

`(5sqrt(52))/(9)` sq. unit

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