CATGeometry > Hard13+12\sqrt{13}+\sqrt{12}13+1237+13\sqrt{37}+\sqrt{13}37+1313+122\frac{\sqrt{13}+\sqrt{12}}{2}213+1237+132\frac{\sqrt{37}+\sqrt{13}}{2}237+13✅ Correct Option: 2Related questions:CAT 2020 Slot 3In a trapezium ABCD,AB\mathrm{ABCD}, \mathrm{AB}ABCD,AB is parallel to DC,BC\mathrm{DC}, \mathrm{BC}DC,BC is perpendicular to DC and ∠BAD=45∘\angle \mathrm{BAD}=45^{\circ}∠BAD=45∘. If DC=5 cm,BC=4 cm\mathrm{DC}=5 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm}DC=5 cm,BC=4 cm, the area of the trapezium in sq cm isCAT 2021 Slot 3Let ABCDABCDABCD be a parallelogram. The lengths of the side ADADAD and the diagonal ACACAC a 101010 cm and 202020 cm, respectively. If the angle ∠ADC\angle ADC∠ADC is equal to 30∘30^\circ30∘ then the area of the parallelogram, in sq. cm, isCAT 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 is