Question

A farmer has 428 feet of fencing with which he wants to enclose a rectangular garden. What dimensions for the garden will yield a maximum area?

Answer 1

area = x*y
paremeter = 2x+2y= 428
x = 224-y
area = x*y = (224-y)*y
area = -y^2 + 224y
do you know how to maxemise that?

Answer 2

-2y+224?

Answer 3

i think that's 214 not 224....

Answer 4

yeah 214:)

Answer 5

@jeanniebean do you know how to find a virtex?

Answer 6

no

Answer 7

we know that it "opens down" so it will have some maximum point at the "top" of the paralbola

Answer 8

yes

Answer 9

there is a formula for that its -b/2a where b and a are the coefficients on the 1 and second term respectivly

Answer 10

-214/(-2*1) = 214/2 = 107

Answer 11

thats what i got but i dont think i went the same way of getting it

Answer 12

so x = 107 use this to find y and x*y = the answer

Answer 13

there are many ways to do it:)

Answer 14

isnt it 107x107

Answer 15

no

Answer 16

darnit

Answer 17

wait yes

Answer 18

yes it is... the maximum area for a rectangle with the given perimeter is a square.

Answer 19

ok cool!

Answer 20

sorry pizza just got here I'm doing to many things at once

Answer 21

mmm... pizza... can i have some?

Answer 22

if your in ne portland:)

Answer 23

ok thanks! i have a few more that i need help with so i will post those too! and thats what im saying all this math is making me starving!

Answer 24

ha:)