length is l
width is w
l*w = 30
2l + 2w = 34
You can simplify the second equation to l + w = 17
Factors of 30:
30*1
15*2
10*3
6*5
Try adding each of these factors together, to find out which equals 17
30 + 1 = 31
15 + 2 = 17
10 + 3 = 13
6 + 5 = 11
So the dimensions of the rectangle are 15m * 2m