Answer:
The dog pen is 12 square meters than the goat pen
Step-by-step explanation:
<u>Area of the rectangular pen for the goats:</u>
The perimeter of the pen is 20 meters. And a barn is used for one side length
so
L + 2B = 20
L = 20 -2B
20 -4B
20 = 4B
B = 5
Now ,
L = 20-2B
L =20 -2(5)
L = 20 -10
L = 10
So area of the rectangular pen for goats
=> 10 x 5
=> 50 square metres
<u>Area of the rectangular pen for the dogs:</u>
The perimeter of the pen is 24 meters. And a barn is used for one side length
so
Now ,
Area of the rectangular pen for dogs
=>
=>
=> 72 square metres
Area of the rectangular pen for the goats - Area of the rectangular pen for the dogs
=>72 - 50
=> 12 square meters