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.

17

step-by-step explanation:

51/3=17

thus 17 is your answer.