# Homework Help: Visualizing Related Rates/Optimization problem

1. Oct 18, 2012

### Painguy

1. The problem statement, all variables and given/known data

A rectangular swimming pool is to be built with an area of 3200 square feet. The owner wants 5-foot wide decks along either side and 10-foot wide decks at the two ends. In this problem you will find the dimensions of the smallest piece of property on which the pool can be built satisfying these conditions.

My main problem is that I have no idea what a pool deck is( The last time I swam in a pool was 6 years ago, I prefer the beach :P), and therefore have no idea how to visualize it in order to come up with an equation to solve the problem with. If someone could be generous enough to give a topdown 2d diagram I'd appreciate that

2. Relevant equations

3. The attempt at a solution

Would it look like this?

2. Oct 18, 2012

### Ray Vickson

Think of a pool deck as a border surrounding the pool, so you want a 5 ft border on each side and a 10 ft border at each end.

RGV

3. Oct 18, 2012

### Painguy

Like that?

4. Oct 18, 2012

### Ray Vickson

That's what I said, so yes.

RGV