"Quarter Layout 1"

one tile: across the entire width [4x2]

"Quarter Layout 2"

Two tiles: two 2x2 next to each other

"Quarter Layout 3"

three tiles: one 2x1, next to it two 1x1 next to each other [2x1][1x1][1x1]

"Quarter Layout 4"

Four tiles: four 1x2 next to each other [1x2][1x2][1x2][1x2]

"Quarter Layout 5"

three tiles: one 2x4, next to it two 2x2 tiles one below the other [2x4][2x2][2x2]

"Quarter Layout 6"

two tiles: 2x4 next to each other [2x4][2x4]

"Quarter Layout 7"

four tiles: one 2x2, next to it a 2x1 and below it two 1x1 [2x2][2x1][1x1][1x1]

"QuarterLayout 8"

Five tiles: four 1x1, next to one 2x2 [1x1][1x1][1x1][1x1][2x2]  

"Quarter Layout 9"

six tiles: one 2x3, next to it a 2x1, below it four 1x1 
[2x3][2x1][1x1][1x1][1x1][1x1]

"Quarter Layout 10"

two tiles: two 2x1 next to each other [2x1][2x1]

"Quarter Layout 11"

four tiles: four 1x1 next to each other [1x1][1x1][1x1][1x1]

"Quarter Layout 12"

three tiles: one 2x2, next to it two 2x1 tiles one below the other [2x2][2x1][2x1]

"Quarter Layout 13"

three tiles: one 2x2, next to it two 1x2 next to each other [2x2][1x2][1x2]

"Quarter Layout 14" 

four tiles: one 2x3, next to it two 1x1 next to each other, underneath a 2x2 
[2x3][1x1][1x1][2x2]

"Quarter Layout 15"

five tiles: two 1x2 next to each other, next to two 1x1, underneath one 2x1 
[1x2][1x2][1x1][1x1][2x1]

"Quarter Layout 16"

four tiles: one 2x2, next to it a 2x1 and below it two 1x1 [2x2][2x1][1x1][1x1]

"Quarter Layout 17"

one tile: across the entire width [4x1]