### Home > AC > Chapter 12 > Lesson 12.4.2 > Problem 12-73

12-73.

If a tile pattern can be described by the equation

*y*= (*x*− 1)(*x*+ 1) +*x*+ 2, where*x*represents the figure number and*y*represents the number of tiles, find each of the following. Homework Help ✎The number of tiles in Figure 307.

The number of the figure that contains 169,333 tiles.

Substitute 307 into the equation for *x*.

*y* = (307 − 1)(307 + 1) + 307 + 2

Solve for *y*.

*y* = 94,557

Set *y* = 169,333.

169,333 = (*x* − 1)(*x* + 1) + *x* + 2

Solve for *x*.