Visualizing Related Rates/Optimization problem

[Painguy]

Homework Statement

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

Homework Equations

The Attempt at a Solution

Would it look like this?

 

[Ray Vickson]

Homework Statement

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

Homework Equations

The Attempt at a Solution

Would it look like this?

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

 

[Painguy]

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

Like that?

 

[Ray Vickson]

Like that?

That's what I said, so yes.

RGV