Bunuel wrote:

Figure area of the rectangle above is 36. What is the length of diagonal AC?
A 6
B 12
C 18
D 24
E 30
Attachment:
2019-01-18_1038.png
The diagonal divides the rectangle in two equal parts and each is a 30-60-90 triangle, where sides are 1:\(\sqrt{3}\):2.
If we take the common ratio as x, the sides are x, \(\sqrt{3}\)x, and 2x.
Now area of rectangle is \(x*\sqrt{3}\)x=36......\(3x^4=36^2....x^4=4^4*9^4/3=\)
x will come out to be some crazy number, which will surely not be an integer..
so I believe he area should be \(36\sqrt{3}\), which will give x as 6 and diagonal will be 2x = 2*6=12..
Bunuel, pl relook in the question
Even I was taken aback seeing the value of x.. seems there is definitely some value error in either answer options or the area of rectangle given..