Question

Calc Q: The owner of a play equipment store wants to construct a fence to enclose a rectangular outdoor storage area by using part of one side of the store, which is 250 feet long, as one of the sides of the enclosed area. There are 470 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area. Note:

Answer 1

You can do this, no problem just think of two key formulas, the area and the permiter

Answer 2

470=L+2w, only one L cause we are dealing with only 3 sides

Answer 3

then you know that Area=LW, but from the formula above, we can rearange to get L, right?

plug that into the formula for the area and bam, differentiate that.

Answer 4

470=L+2w------>L=?

Answer 5

(470-L)/2 right?

Answer 6

not really :)

we want to find L, what does L equal?

Answer 7

oh ok ma bad... its L=2W-450

Answer 8

you mean 470

Answer 9

yes sorry hehe

Answer 10

so what about the 250? Do i need to work with it?

Answer 11

naw, its a not useful in this case

Answer 12

oh ok...

Answer 13

but make sure you do the differentiation okay

Answer 14

yes...so after I did the diff and then what?

Answer 15

what did you get?

Answer 16

W=235

Answer 17

okay, then all you have to do is find out what L is

Answer 18

By doing this d/dx (2w-470) :)

Answer 19

L=0?

Answer 20

no way jose :)

Answer 21

oops

Answer 22

sory cruzermanth my connection was bad...i missed what u were saying earlier