Respuesta :

Answer:

390=W 195=L Area=76050

Step-by-step explanation:

You have two lengths and one width for your perimeter

P= 2L + W

you are given your perimiter 780

780= 2L + W

To solve for your maximum Width

780-2L=w

Area is L * W

A= (780-2L)*L

A= 780L - 2L^2

the derivitive of the Area

A' = 780-4L =0

add 4L to both sides

780=4L

divide by 4 on both sides

195=L

Bring back 780-2L=W and plug in what you now know is L

780-2(195)=W

780-390=W

390=W