Let's find the area of one parallelogram piece.
Formula:
[tex]\sf~A=bh[/tex]
Plug in what we know:
[tex]\sf~A=(5)(3.5)[/tex]
Multiply:
[tex]\sf~A=17.5[/tex]
This is the area of one parallelogram piece, so multiply by 25 to find out the area of the entire quilt.
[tex]\sf~A=17.5\times25\rightarrow\boxed{\sf437.5}[/tex]