20 points i need help and explain because my teachers - id2011117211, moongirl4791

Question

Mathematics: 20 points i need help and explain because my teachers wants me to explain

moongirl4791 · Accepted Answer

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

$Area = L\times B$

$Area = (20-2B)\times B$

Area = (20B-2B^2)

$\frac{dA}{dB} = 20-4B$

20 -4B

20 = 4B

$B=\frac{20}{4}$

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

L' + 2B' = 24

L' = L+2

L' = 10+2

L' = 12

Now ,

12 + 2B' = 24

2B' = 24-12

2B' = 12

$B' = \frac{12}{2}$

B' =6

Area of the rectangular pen for dogs

=> $L' \times B'$

=> $12 \times 6$

=> 72 square metres

Area of the rectangular pen for the goats - Area of the rectangular pen for the dogs

=>72 - 50

=> 12 square meters

20 points i need help and explain because my teachers wants me to explain

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