Since the choices were not given, the ones below were retrieved from another source:
A) 6x^2+x-12=0
B) 6x^2+x-13=0
C) 6x^2+x-26=0
D) 36x^2+6x-26=0
If we let x represent the dimension of the base, then
we can represent height as (6x +1).
Since the area of the triangle is equal to bh/2, we can express the area in terms of x as
x(6x + 1)/2 and equate in to 13. Thus
x(6x + 1)/2 = 13
x(6x + 1) = 26
6x² + x = 26
6x² + x - 26 = 0
Thus, the answer is 6x² + x - 26 = 0.
