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

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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