Question

A room is 13.6m long and 6.4m wide
It is to be paved with square marble files each of side 80cm . How many marble tiles will be required.

Answer 1

Given :----

• Length of room = 13.6m = 1360cm
• Breadth of room = 6.4m = 640cm
• Side of Square marble = 80cm.

To Find :-------

• Number oF Tiles Required in Room Floor ?

Formula used :-------

• Area of room = length * Breadth
• Area of square tile = (side)²
• Number of Tiles Required = (Area of Room)/(Area of one marble tile) .

Solution :--------

Putting all values in above Told Formula we get,

→ No. of Marble Tiles Required = (1360*640)/(80*80)

→No. of Marble Tiles Required = 136

Hence , Total 136 Marble Tiles Required in the Room ..

____________________________

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$\bf{Given:-}\begin{cases}\sf{Dimensions\:of\:room}\\ \sf{length=13.6m\:\: breadth=6.4}\\ \sf{side\:of\: square\:marbles=80cm}\end{cases}$

$\huge\star{\sf{\red{To\:Find:-}}}$

The number of marble needed for floor

$\bf\underline{\underline{\blue{According\:to\: Question:-}}}$

• Now first convert the length and breadth of room into cm
• length =13.6×100= 1360cm
• breadth=6.4×100= 640cm

$\boxed{\sf{\star{Area\:of\: rectangle=length\times breadth}}}$

$\sf\implies Area\:of\:room =1360\times 640\\ \\ \sf\implies Area\:of\:room=870400cm{}^{2}$

• Now the area of tiles which is in the form of square now the area of tiles

$\boxed{\sf{\star{Area\:of\: square=side{}^{2}}}}$

$\sf\implies Area\:of\: 1\: tiles=(80{}^{2}\\ \\ \sf\implies Area\: of\: 1\:tiles=6400cm{}^{2}$

• Now the number of tiles needed for room

$\boxed{\sf{No.\:of\:tiles\: required=\frac{Area\:of\:room}{Area\:of\:tiles}}}$

$\sf\implies No.\:of\:tiles\: required=\cancel{\frac{870400}{6400}}\\ \\ \sf\implies No.\:of\:tiles\: required =136$

$\boxed{\sf{\star{\purple{Number\:of\:tiles\: required=136}}}}$

#BAL

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