contestada

A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of fence, whats the maximum area he can enclose?

Respuesta :

Answer:

The answer is "[tex]\bold{100\ ft \times 200\ ft}[/tex]"

Step-by-step explanation:

A = area of the pigpen 

x = its perpendicular length of the sides of the stone wall

Maximize function:

[tex]\to A = x (400-2x)\\\\Where\ \ 0<x<200[/tex]

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is "[tex]\bold{100\ ft \times 200\ ft}[/tex]"