### Home > CA > Chapter Ch12 > 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.