lw = 30 ------> l = 30/w
2(l + w) = 34 ------> l + w = 17 ------> l = 17 - w
30/w = 17 - w
30 = 17w - w2
w2 - 17w + 30 = 0
(w - 15)(w - 2) = 0
w - 2 = 0
w = 2
w - 15 = 0
w = 15
The rectangle is 15 x 2.
I don't know how to lable this because you have square feet and meters. If it really is both, this is wrong.