# Figure D of 4-1

### By Grace K, Logan W, Isaac B, Taylor S

## The rule x=Figure number y=How many tiles

y= 1+x+x+2+(x+1)(x+3)

## Patterns of F0, F4, F5 and F100

## F0 Has 6 tiles we figured this out by following the rule y= 1+0+0+2 +(0+1))(0+3) y= 1+2 +1*3 y=6 tiles | ## F4 Has 42 tiles y=1+4+4+2+(4+1)(4+3) y=1+4+4+2+5*8 y=5+2+35 y=42 | ## F5 Has 61 tiles y=1+5+5+2+(5+1)(5+3) y=1+5+5+2+6*8 y=1+5+5+2 + 48 y=6+5+2+48 13+48 y=61 tiles |

## Figure 100

## Has 10,606 tiles

y= 1+100+102+(101)(103)

y= 1+100+102 +10,403

y=10,606 tiles in figure 100