Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.

Design 12

Step-by-step explanation:

See attached for missing part of the question

As we see each design comprises of:

So design x has x rows and (x+2) columns.

We can put it as equation to get 170 tiles:

Solving the quadratic equation we get:

So design 12 has 12 rows, 14 columns, 1 entrance and 1 exit tiles.

i believe it is the square root of 122 because when you turn it on it's side, to where the 5 inches is on the bottom, it looks like it is the same length.