Alocal farmer built a rectangular pen for her goats using 20 meters of fence. she used part of one side of her barn as one length of the rectangular pen. she maximized the area using 20 meters of fence. she then built a rectangular pen for her hogs using 24 meters of fence. she used part of one side of her barn as one length of the rectangular pen. the length of her pen was 2 meters more than the length of the goat pen. the width of her pen was 1 meter more than the width of the goat pen. how much larger is the hog pen than the goat pen?

The dog pen is 12 square meters than the goat pen

Step-by-step explanation:

Area of the rectangular pen for the goats:

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

Area of the rectangular pen for the dogs:

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

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42