In the rectangle above, A is the midpoint of the side, and BC=CD=DE. What is the area of the rectangle?
(1) The area of the shaded region is 24.
(2) The area of triangle CDO is 16.
I got the answer but need a more concise approach..
Let's call the vertex diagonally opposite of E as F.
OA is the median of \triangle OBF
, because A is the mid-point of FB. A median divides a triangle in two-halves such that the areas of two newly formed triangles are equal.
A diagonal of a rectangle divides the rectangle in two equal halves such that the area remains same for both halves.
Same concept as statement 1.
OD is the median of OCE because CD=DE
OC is the median of OBD because CD=BC
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