You are designing a rectangular pet pen for your new baby puppy. You have 30 feet of fencing you would like the fencing to be 6 1/3 feet longer than the width

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