Answer
Total area of nylon needed: 23.50 ft$^{2}$
Work Step by Step
To find out how much fabric is needed we must add the areas of all the triangles together.
$A$ = $\frac{1}{2}$$b$$h$
Therefore:
$A$$_{total}$ = ($\frac{1}{2}$(3 ft)(3.5 ft)) +($\frac{1}{2}$(3 ft)(3.5 ft)) + ($\frac{1}{2}$(4 ft)(6.5 ft))
$A$$_{total}$ = 5.25 ft$^{2}$ + 5.25 ft$^{2}$ + 13 ft$^{2}$
$A$$_{total}$ = 23.50 ft$^{2}$