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

Area of a triangle: A= 1/2(base)(hieght)

base=x
height= 6(base)+1= 6x+1

13= 1/2 × (x)(6x+1) 
(get rid of 1/2 by multiplying each side by 2)
26= (x)(6x+1)
26= (x × 6x)= 6x² (x × (+1))= x
26= 6x² + x
0= 6x²+x-26

Are either of those the answers? If not, list the options and I will be able to tell you which one is correct. Hope this helped!

Yes you are right the correct answer is b