# math models

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

• math models -

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

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