Farmer ed has 450 meters of fencing, and wants to enclose a rectangular plot that borders on a river. if farmer ed does not fence 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?

Let

x--------> the length of the plot (side along the river)

y--------> the width of the plot

we know that

Area of the plot=x*y------> equation 1

perimeter of the plot=x+2y

perimeter of the plot=450 m

so

x+2y=450-----> 2y=450-x------> divide by 2 both sides

y=225-0.50x-------> equation 2

substitute the equation 2 in equation 1

A=x*[225-0.50x]------> A=225x-0.50x²

using a graph tool

see the attached figure

the vertex is the point (225, 25312.5)

that means for x=225 m the value of the area is a maxim

find the value of y

A=x*y-------> y=A/x-----> y=25312.5/225------> y=112.5 m

the answer part a) is

the length of the plot (side along the river) is 225 m

the width of the plot is 112.5 m

the answer part b) is

the largest area that can be enclosed is 25,312.5 m²

20

step-by-step explanation:

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: