Answer :
[tex]A=32ft^2 \\\\ A=\frac{b*h}{2} \\\\ \frac{b*4}{2}=32 \\\\ b=\frac{2*32}{4} \\\\ b=2*8 \\\\ \boxed{b=16ft}[/tex]
[tex]Formula\ for\ area\ of\ triangle:\\\\
Area=\frac{1}{2}base*height\\\\
32=\frac{1}{2}*4*base\\\\
32=2base\ \ \ |Divide\ by\ 2\\\\
base=16ft\\\\
Length\ of\ base\ is\ equal\ to\ 16ft.[/tex]