Question

Square shaped tiles are to be used to cover a rectangle floor with the dimensions 18.7m and 12.1 m.The dimensions of the tiles are chosen in such a way that the least number of tiles will cover the rectangular floor.WHAT will be dimensions of the tiles and how many such tiles will be required

Answer 1

Answer:

dimensions of each tile = 1.1 m x 1.1 m

number of tiles needed = 187 tiles

Step-by-step explanation:

area floor = 18.7 * 12.1 = 226.27 m²

tiles are square shaped, side be x

since, minimum tiles needed, x is HCF of 18.7 and 12.1

HCF (18.7, 12.1) = 1.1

(because, 18.7 = 1.1 * 17, 12.1 = 1.1 * 11)

therefore, x = 1.1 m

now, n be number of tiles in total

n = area floor/area of one tile = 226.27/1.21 = 187 tiles

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