Answer:
w = 4 1/3
l = 10 2/3
Step-by-step explanation:
Let w = width
L= length = w+ 6 1/3
Changing the mixed number to an improper fraction
6 1/3 = (3*6+1)/3 = 19/3
l = w + 19/3
Fencing means perimeter
P = 2(l+w)
30 =2(l+w)
Replace l with w+19/3
30 = 2 (w + 19/3 +w)
Combine like terms
30 =2(2w+19/3)
Divide by 2 on each side
30/2 = 2/2 (2w+19/3)
15 = 2w+19/3
Subtract 19/3 from each side
15 -19/3 = 2w+19/3-19/3
45/3 -19/3 =2w
26/3 =2w
Multiply by 1/2
26/3 *1/2= 2w*1/2
26/6 = w
Change this back to a mixed number
6 goes into 26 4 times (6*4=24 ) with 2 left over
4 2/6
4 1/3
w = 4 1/3
l = w + 6 1/3
l = 4 1/3 + 6 1/3
l = 10 2/3
