Question

A room is 13.6 meters long and 6.4 meter wide. Its floor has to be paved with square marble tiles of side 80 centimeters. How many tiles will be required?

Answer 1

$\huge\mathbb{\underline{\underline{\red{SOLUTION:-}}}}$

$\bold{Given}\begin{cases}\sf{Length\:of\: Room=13.6metre}\\ \sf{Width\:or\:breadth=6.4metre}\end{cases}$

• Find the Area of Room =Length ×Breadth

$\sf Area\:of\:room=Length\times Breadth$

Convert 13.6m and 6.4 m in cm

• 13.6×100= 1360cm
• 6.4×100=640cm

$\sf Area=L\times B\\ \\ \sf\implies Area=1360cm\times 640cm\\ \\ \sf\implies Area=870400cm{}^{2}$

$\bf Area\:of\:Room=870400cm{}^{2}$

Now find the area of square tiles

$\bold{Given}\begin{cases}\sf{Side=80cm}\end{cases}$

$\sf\underline{\pink{Area\:of\: square=side\times side}}$

$\sf Area\:of\:tiles=80cm\times 80cm\\ \\ \sf\implies Area=6400cm{}^{2}$

$\bf{Tiles\:will\:be\: required=\frac{Area\:of\:room}{Area\:of\:tiles}}$

$\bold{we\:find}\begin{cases}\sf{Area\:of\: Room=870400cm{}^{2}}\\ \sf{Area\:of\:tiles=6400cm{}^{2}}\end{cases}$

$\tt Tiles\:will\:be\: required=\cancel{\frac{870400}{6400}}=136\\ \\ \sf\implies tiles\:will\:be\: required=136$

Tiles will be required are 136

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