Question

a rectangular courtyard is 18m 72cm long and 13m 20cm broad and it is to be paved with square tiles of the same size. find the least possible number of such tiles​

Answer 1

Solution :-

Given : A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad.

First of all,

We need to find the HCF of 1872 and 1320.

By Prime factorisation,

1872 = 2⁴ × 3² × 13

1320 = 2³ × 3 × 5 × 11

HCF of 1872 and 1320 = 2³ × 3 = 24

Now,

Number of tiles = Area of rectangular courtyard / Area of each tiles

= (1872 × 1320)/(24 × 24)

= 4290

Hence,

Number of such tiles = 4290

Answer 2

$\huge\blue{Answer}$

$(Length = 1872 cm) \\ </p><p>(Width = 1320 cm)$

$( Square tile = HCF of 1872 and \\ 1320 = 24 cm)$

$(Required tiles = area of \\ courtyard)$

$= 1872 x \frac{1320}{ 24} )2 = 4290$

$(Answer=4290)$