Question

You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest are that can be enclosed?
A.) Find Vertex
B.) Find dimesional L and W
C.) Find maximum area

Answer 1

can u find it's example there?

Answer 2

example 7 i think

Answer 3

Let;s begin.

Answer 4

haha.. you've got the go ahead

Answer 5

A = LW

2W + L = 200
L = 200 - 2W

A = W(-2W + 200)
A = -2W^2 + 200W.

Answer 6

thats it??

Answer 7

no... solving..

Answer 8

ohh ok take ur time

Answer 9

i think im getting it, just a sec.

Answer 10

okay

Answer 11

Let x be the length of the portion of the fence parallel to the river. Then the
other two sides each have length (200 − x)/2, and the total area is....

Answer 12

we did a mistake in the last one.

Answer 13

really? where

Answer 14

the vertex there was (12,0)

Answer 15

rest is correct.

Answer 16

okay.. fixed it

Answer 17

here, vertex = (100,5000)

Answer 18

this is hard for a 16 year old. :O

Answer 19

the max area is 5000.

Answer 20

Mystery solved.. :D

Answer 21

lol.. its hard for a 19 yr old

Answer 22

wats B?

Answer 23

length = 100

width = 50.

Answer 24

that's B.

Answer 25

how did u get 100,5000 for vertex. like the formula u used

Answer 26

-b/2a

Answer 27

i got 100.
then insert that value in it again to get 5000

Answer 28

man! these were hard.

Answer 29

wait.. A= -2 B=200 rite

Answer 30

so i can be able to find the vertex

Answer 31

Nope.

-b/2a
-(-100)/2(0.5)

Answer 32

100

Answer 33

can u put it like the way u had put the first one please

Answer 34

if u don't mind