math models
posted by Clarissa .
Compute the number of vinyl tiles, measuring 6 in. each side, needed to tile a kitchen measuring 20 ft. by 16 ft.

1 ft = 12 in
1 ft ^ 2 = 12 ^ 2 = 144 in ^ 2
Areaa od a kitchen
Ak = 20 * 16 = 320 ft ^ 2
Ak = 320 ft ^ 2 = 320 * 144 = 46,080 in ^ 2
Area of tiles
At = 6 * 6 = 36 in ^ 2
Numbers of a tiles
n = Ak / At
n = 46,080 / 36 = 1280
OR
20 ft = 20 * 12 = 240 in
One side of tiles = 6 in
240 / 6 = 40
16 ft = 16 * 12 = 192 in
One side of tiles = 6 in
192 / 6 = 32
n = 40 * 24 = 1280