\(P=2L+2W\)
\(A=WL\)
Therefore, if \(P=34\), and \(A=30\), then let us find the factors of 30 that could give a sum of half of the perimeter which is 34. Therefore:
\(P=2*15+2*2\)
\(A=15*2\)
\(P=34\)
\(A=30\)
Therefore, the dimensions of this rectangle are 15 and 2.