The area of a triangle= half x base x height = 32 square feet
the height = one-fourth of the base
If the base = b
Then the height = 1/4 x b = b/4
[tex]\begin{gathered} A=\text{ }\frac{1}{2}\times b\times h \\ 32=\text{ }\frac{1}{2}\times b\times\frac{b}{4} \\ 32=\text{ }\frac{b^2}{8} \\ \text{cross multiply} \\ b^2=\text{ 32}\times8 \\ b^2=256 \\ b=\text{ }\sqrt[]{256}=\text{ 16 ft} \end{gathered}[/tex]