Farmer ed has 150 meters of fencing and wants to enclose a rectangular play that borders a river. if farmer ed does not fence in the side along the river, find the length and width of the plot that will maximize the area. what is the largest area that can be enclosed?

The largest area will be 2812.5 square meters.

Step-by-step explanation:

The perimeter of rectangle is given as:

(L is the length and W is the width)

As one side is not to be fenced, so the formula here will be :

Perimeter is 150.

So, ;

Area of the rectangle is :

Plugging the value of L in the area formula;

Area =

This is a parabola or quadratic function whose maximum or minimum values occur at the average of the solutions.

So, Solving

=> Or

=>

=>

W = 75

So, the two solutions are zero and 75.

The average of them is

Now, the maximum area is at W=37.5

And

L = 75

The dimensions that maximize the area are L=75 and width W=37.5

And maximum area = = 2812.5 square meters

Hence, the largest area will be 2812.5 square meters.

sorry can't

step-by-step explanation:

i googled though and something came up but it was in science langueage not common english sooo

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕