Question

A rectangle ciurtyard 18m 72cm long and 13m 20cm broad is to be paved with square stones of the same size .find the least possible number of such stones.​

Answer 1

Step-by-step explanation:

let no . of stones be n . stones coven full area so

$n = \frac{18 \times 72}{13 \times 20} = 4.98$

almost 5 stones

Answer 2

Answer:

The least number of tiles required to cover the courtyard is 4290.

Step-by-step explanation:

Given Information -

Length = 18m & 72 cm.

➟ 18m72cm.

➟ 1872cm.

Width = 13m & 20 cm.

➟ 13m20cm.

To Find -

The least possible number of such stones.

Solution -

First of all find the HCF of 1872 cm and 1320 cm.

So,

After finding the HCF of 1872 cm and 1320 cm.

We'll get 40.

{ Use Euclid's division lemma method }

Now,

$\bigstar\;\boxed{\sf Number\; of\; tiles\; required\;=\dfrac{(Area\;of\;the\;Rectangular \;courtyard)}{(Area\;of\;Square\; tile)}}}$

Known values in Equation,

$\sf\\ \\\implies \dfrac{(1872 \times 1320)}{(24 \times24)}\\ \\\implies 4290\quad[sq.cm\;Tiles]$

Therefore,

The least number of tiles required to cover the courtyard is 4290.