4 Squares Union

Geometry Level 4

The four colored squares are jointed upon 2 points with other squares, forming a (yellow) quadrilateral ABCD, as shown above. The numbers written in each square indicates the area of such square.

If the diagonals AC and BD are perpendicular with AC:BD equals 3:2, what is the area of the (yellow) quadrilateral ABCD?

Note : figure not drawn to scale

The answer is 13.

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