[[[ Ratios of rectangle ]]]

Geometry Level 3

Let ABCD be a rectangle. Let P be a point on side AB so that AP:PB=4/5. Let Q be a point on side CD so that CQ:QD=11:3. Let R be the intersection of AC and PQ. Then AR:AC can be expressed in the form m/n, where m and n are relatively prime positive integers. Find m+n.

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