Here's a problem a friend and I have been trying to figure out. Maybe one of you will be able to help us?

Here it goes:

"Someone is planning to build a patio along the back wall of her house which is 32 feet long. The patio will be rectangular in shape and will fit against the full length of the back wall (so one side of the patio will be 32 feet long).

Let's assume the patio tiles are each 1ft x 1ft.

If this person has 256 tiles to work with, how far out from the wall will the patio extend?

Pretend you are the patio builder and do these tasks:

* Choose the variable you are going to use and state what it represents.

* Write an equation that represents the problem.

* Then solve the problem and equation.

Also ...

Benito is also going to build a patio but his patio does not have to fit exactly against a wall. In fact all that Benito has decided is that the patio should be rectangular in shape and should use all of the 144 tiles he has available. His tiles are the same size as the problem above.

Find as many possibilities you can for the dimensions of Benito's patio."

Any tips, suggestions, etc on how to solve this two are appreciated.