Question

A rectangular wall is 5.4 m long and 2.4 m high. Find the number of square marble tiles each of side 15 cm required to fix the outside of the wall.

Answer 1

$\underline {\pink { Dimensions \:of \: a \: rectangular \: wall: }}$

$Length (l) = 5.4 \:m , \\Height (h) = 2.4 \:m$

$\underline {\blue { Dimensions \:of \: each\: square \: tile: }}$

$Side (a) = 15 \:cm \\= \frac{15}{100} \\= 0.15 \: m$

$Let \: \red { Number \: of \: tiles \:required = n }$

$\orange { n = \frac{ Area \:of \:the \: rectangle }{Area \:of \:each \:tile }}$

$\implies n = \frac{ l \times h }{ a^{2}} \\= \frac{ 5.4 \times 2.4 }{ (0.15)^{2}} \\= \frac{ 5.4 \times 2.4 }{ 0.15\times 0.15} \\= 576$

Therefore.,

$\red { Number \: of \: tiles \:required} \green {= 576}$

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