Question 600366
I assume you're looking for the rectangle's dimension


base = b
height = h


b = 3 + 2h
Area = b * h
27 = (3 + 2h)*h
{{{27 = 3h + 2h^2}}}
{{{2h^2 + 3h - 27 = 0}}}
factorize it into:
{{{(2h + 9)*(h - 3)=0}}}
2h + 9 = 0 or h - 3 = 0
2h = -9 or h = 3
h = -9/2 or h = 3


because the height can't be a negative number, so h = 3
b = 3 + 2*3 = 3 + 6 = 9


so the height is 3 ft and the base is 27 ft