# Thread: Optimization Word Problem Start Help

1. ## Optimization Word Problem Start Help

A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimension of the field with maximum area that can be enclosed with 1000 feet of fence.

~I'm not really sure how to start with this question. I drew a rectangle surrounded by another rectangle, shaded outer side for the stream, but I'm not quite sure what to do next...

If you help me get started, that'd be great

2. Originally Posted by StarlitxSunshine
A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimension of the field with maximum area that can be enclosed with 1000 feet of fence.

~I'm not really sure how to start with this question. I drew a rectangle surrounded by another rectangle, shaded outer side for the stream, but I'm not quite sure what to do next...

If you help me get started, that'd be great
let L = side parallel to the stream

W = sides perpendicular to the stream

2W+L = 1000

A = LW

get A in terms of a single variable, take the derivative and maximize.