Given that
The area of the triangular pennant is 640 sq cm and the height is 32 cm.
So we have to find the base of the pennant.
Explanation -
The formula for the area of the triangle is
[tex]A=\frac{1}{2}\text{ }\times base\times height[/tex]By substituting the values we have
[tex]\begin{gathered} 640=\frac{1}{2}\times b\times32 \\ b=\frac{640}{32}\times2=20\times2=40 \\ b=40cm \end{gathered}[/tex]So the base is 40 cm.
Hence the correct option is D.
And the final answer is 40cm.