Question

What is the area of the floor if 50 tiles each of dimensions 10 cm were required to fill the floor​

Answer 1

$\large \pmb{\mathfrak{Given....}}$

Given that, 50 tiles each of dimensions 10cm are required to fill the floor.

$\large \pmb{\mathfrak{To~find....}}$

We've to find the area of the floor.

$\large \pmb{\mathfrak{Solution....}}$

It is said that 50 tiles of dimensions 10cm are required to fill the floor.

So, we can say that :

$\sf \star~\boxed{No.~of~tiles(Area ~of ~tile)=Area~of~the~floor}~\star$

$\sf:\implies 50(100cm^2)=5000cm^2$

Therefore, 5000cm² is the area of the floor.

$\large \pmb{\mathfrak{Verification....}}$

Now, let's verify whether 500cm² is the area of the floor or not :

We know that :

$\sf \star~\boxed{\dfrac{Area~of~the~floor}{Area~of~the~tile}=No.~of~tiles}~\star$

$\sf:\implies \dfrac{5000cm^2}{~100cm^2}=50$

$\sf :\implies \dfrac{50~\cancel{00cm^2}}{1~\cancel{00cm^2}}=50$

$\sf :\implies 50=50$

Henceforth, verified!