Arancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into 2 identical smaller rectangular plots by placing a fence parallel to one of the field's shorter sides. find the dimensions that maximize the enclosed area. write your answers as fractions reduced to lowest terms.

Let's assume

length of rectangle is x

width of rectangle is y

now, we can draw rectangle

now, we can find fencing length

we are given

total fencing length=400

so, we can set them equal

now, we can solve for y

now, we can find area

Area=length*width

we can plug back y

we have to maximise area

For maximising area , firstly we find derivative of area

and then we can set derivative =0 and then we solve for x

so, firstly we will find derivative

now, we can set it to 0

and then we solve for x

now, we can find y

so, dimensions are

length is 100 feet

width is feet.............Answer

it shoild be o

step-by-step explanation: