The base of a triangle is 2 more than twice the height of the triangle. find the measure of the base and the height if the area is 20 ft^2 (the height is 4 and the base is 10, show a process so i can see how you got there

B = 2 + 2H 
A = 20 ft^2
H = H

Since the Area of a Triangle is Base * Height then the formula should be:
A = BH
20 = H(2+2H)
20 = 2H^2 + 2H
0 = 2H^2 + 2H - 20 

Find the zeros of the quadratic equation through substituting the values of a,b, and c. You will get the zeros of x = 2.7 and -3.7. The only thing that would make sense is you use the x=2.7 because there are no negative heights.

Since b = 2h+2 
b= 2(2.7) + 2
b= 5.4 + 2 
b=7.4

I don't know where you got 4 and 10, but what I got is different.