Math
posted by Bakare Olanrewaju on .
Gina has 24 feet of fence, she wants to make the largest rectangular area possible for her rabbit to play in , what length should she make each side of the rabbit penn?

That is calculus question.
a = length
b = width
P = Perimeter
A = Area
P = 2 a + 2 b = 2 ( a + b )
24 = 2 ( a + b ) Divide both sides by 2
12 = a + b
a + b = 12 Subtract a to both sides
a + b  a = 12  a
b = 12  a
A = a * b = a * ( 12  a )
A = 12 a  a ^ 2
The function has a minimum value if f ' ( A ) = 0
and f " ( A ) = a positive number.
The function has a maximum value if f '( A ) = 0
and f ''( A ) = a negative number.
f ´ ( A ) = 12  2 a
f " ( A ) =  2
f´ ( A ) = 0
12  2 a = 0 Add 2 a to both sides
12  2 a + 2 a = 0 + 2 a
12 = 2 a Divide both sides by 2
6 = a
a = 6 m
f´ ( A ) = 0
f " ( A ) =  2
That is a maximum value.
b = 12  a = 12  6 = 6 m
Square 6 x 6 m 
How do I figure out the largest rectangle area

you solve it