CAT 2024 - Slot 2 Quant Question 9
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CAT 2024 Slot 2 - Quant
The simplest way to visualise this would be with symmetry.
We can take AD to be x and CB to be 3 – x; since the perimeter of ABCD is 6, and AB and CD are given as 2 and 1 cm, respectively, that leaves AD + BC as three only.
We can see that triangles AEB and DEC are similar, with the lengths of AB being double of CD, essentially making D the mid-point of AE and C the mid-point of EB.
Through this, we get the length of DE and CE to be x and 3 – x.
Give us the AE and BE lengths as 2x and 6 – 2x, respectively.
Giving the perimeter of AEB as 2x + 6 – 2x + 2 = 8 cm