Question

2. The dimensions of the floor of a rectangular hall are 4 m x 3 m. The floor of the hall is to be tiled fully with
8 cm x 6 cm rectangular tiles without breaking tiles to smaller tiles. Find the number of required tiles.​

Answer 1

$\tt ฏGIVEN:−$

$\tt length \: of \: floor = 4m =400cm$

$\tt breadth\: of \: floor= 3m = 300cm$

$\tt length\: of \: single \: tile= 8cm$

$\tt breadth\: of \: single \: tile= 6cm$

$\tt ฏFIND:-$

$\tt No. \: of \: tiles \: reqire = ?$

$\tt ฏSOLUTION:-$

$\begin{gathered}\tt area \: of \: floor = 400 \times 30 \\ \tt = 120000 {cm}^{2}\end{gathered} </p><p>$

$</p><p> \tt area \: of \: each \: tile= 8 \times 6 = 4 {cm}^{2}$

$\tt Now \: let \: no. \: of \: tiles = x</p><p>$

$\tt = > area \: of \:hall= x\times area \: of \: each</p><p>$

$\tt = > 120000 = x(48)$

$\tt = > x = \frac{ \cancel{ 120000}}{ \cancel{48}} = 2500$

$</p><p>\boxed{ \tt so \: total \: no. \: of \: tile \: is \boxed{2500}}$