ABCD is a rectangle, in which AC=20 cm. A perpendicular AE is drawn to BD, such that BE+16cm.Find the area of ABCD. Ans : 120.

Hi Rupanshi,
Let's say breadth is b and length is l. Consider angle made by diagonals AC and BD with base as AB (=breadth (b)) is theta. so bcos($$\theta$$) = 16 and 20cos($$\theta$$) = b now solve both equation find the values of sin($$\theta$$) and cos($$\theta$$) then find l and b. Answer will be 160. Hope it helps. If you need further explanation please do let us know :)

Thanks Vikas Bansal. It seems i was committing a silly mistake. And yes the ans is 160 :)

This question is a part of the quant section(Q 25) in Dashcat 12. The solution provided is not detailed. Could you provide a more detailed solution that explains the equations written already