Answer
7.875 ft$^{2}$ of fabric is needed to make the door.
Work Step by Step
Area of a Triangle: $A$ = $\frac{1}{2}$$b$$h$
Therefore:
$A$ = $\frac{1}{2}$(3$\frac{1}{2}$ ft )(4$\frac{1}{2}$ ft)
$A$ = (0.5)(3.5 ft)(4.5 ft)
$A$ = 7.875 ft$^{2}$