\(A=lw\)
\(P=2l+2w\)
\(30=lw\)
\(34=2l+2w\)
\(30=lw\) --> \(w= \frac{30}{l}\)
\(34=2l+2( \frac{30}{l}) \\ 34=2l+ \frac{60}{l} \\ 34l=2l^2+60 \\ 2l^2-34l+60=0 \\ 2(l-2)(l-15)=0 \\ l=2, 15\)
\(30=(2)w\)
\(15=w\)
\(30=(15)w\)
\(2=w\)
The dimensions can either be 15 x 2 or 2 x 15.
