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

Question

bogdanovich [222]

3 years ago

15

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?

Mathematics

1 answer:

Fofino [41] · Answer 1 · 2022-12-03T07:06:17+03:00

Fofino [41]3 years ago

3 0

Answer:

The answer is " $\bold{100\ ft \times 200\ ft}$ "

Step-by-step explanation:

A = area of the pigpen

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

Maximize function:

$\to A = x (400-2x)\\\\Where\ \ 0$

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