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 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 2018 Slot 1Points E,F,G,HE, F, G, HE,F,G,H lie on the sides AB,BC,CDA B, B C, C DAB,BC,CD, and DAD ADA, respectively, of a square ABCDA B C DABCD. If EFGHE F G HEFGH is also a square whose area is 62.5%62.5 \%62.5% of that of ABCDABCDABCD and CGCGCG is longer than EBEBEB , then the ratio of length of EBEBEB to that of CGCGCG isCAT 2018 Slot 2A parallelogram ABCDABCDABCD has area 48sqcm48 \mathrm{sqcm}48sqcm. If the length of CD is 8 cm8 \mathrm{~cm}8 cm and that of ADADAD is s cm , then which one of the following is necessarily true?