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(D) To find the side of the largest square slab,we need to calculate the $H.C.F.$ of the length and breadth of the room.First,convert the dimensions i

Vedclass · Accepted Answer

$34$

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(D) To find the side of the largest square slab,we need to calculate the $H.C.F.$ of the length and breadth of the room.First,convert the dimensions into centimeters:Length $= 5 \, m \, 44 \, cm = 544 \, cm$.Breadth $= 3 \, m \, 74 \, cm = 374 \, cm$.Now,find the $H.C.F.$ of $544$ and $374$:$544 = 2 	imes 2 	imes 2 	imes 2 	imes 2 	imes 17 = 2^5 	imes 17$.$374 = 2 	imes 11 	imes 17$.The $H.C.F.$ is the product of the common prime factors with the lowest powers:$H.C.F. = 2 	imes 17 = 34$.Therefore,the side of the largest square slab is $34 \, cm$.

Find the side of the largest square slab which can be paved on the floor of a room $5 \, m \, 44 \, cm$ long and $3 \, m \, 74 \, cm$ broad.

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