CATGeometry > Hard25(5+15)25(\sqrt{5}+\sqrt{15})25(5+15)25(3+15)25(\sqrt{3}+\sqrt{15})25(3+15)25(5+15)2\frac{25(\sqrt{5}+\sqrt{15})}{2}225(5+15)25(3+15)2\frac{25(\sqrt{3}+\sqrt{15})}{2}225(3+15)✅ Correct Option: 2Related questions:CAT 2023 Slot 2In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC isCAT 2022 Slot 1Let ABCDABCDABCD be a parallelogram such that the coordinates of its three vertices A,B,CA, B, CA,B,C are (1,1),(3,4)(1, 1), (3, 4)(1,1),(3,4) and (−2,8)(-2, 8)(−2,8), respectively. Then, the coordinates of the vertex DDD areCAT 2022 Slot 3The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 111 cm, 222 cm and 444 cm, then the total number of possible lengths of the fourth side is