Ratio of the area of ABQCDP to remaining area inside square ABCD | Geometry | Q15 CAT 2008 Quant

Q15 : Consider a square ABCD with midpoints E, F, G, H of AB, BC, CD and DA respectively. Let L denote the line passing through F and H. Consider points P and Q, on L and inside ABCD, such that the angles APD and BQC both equal 120o. What is the ratio of the area of ABQCDP to the remaining area inside ABCD?