The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. if the base of a triangle is x feet which equation models

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.

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