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Q. There is a rectangular floor of length 6 m 30 cm and breadth 4 m 62 cm . This floor is to be covered with square-shaped tiles of equal size. What is the maximum length of each square tile that can cover the floor?

 

Dear Student,

Please find below the solution to the asked query:

Given : Length of rectangular floor  = 6 m 30 cm =  600 + 30 =  630 cm              ( We know 1 m = 100 cm )

And

Breadth of rectangular floor  = 4 m 62 cm =  400 + 62 =  462 cm

We know area of rectangle  =  Length $\times$ Breadth , So

Area of rectangular floor  = 630 $\times$ 462 = 291060

We know area of square  = ( Side )² , So from given condition we get

( Side )² =  291060 ,

Side = 539.5 cm 

Therefore,

Maximum length of each square tile that can cover the floor = 539.5 cm  =  5 m 39.5 cm                                          ( Ans )

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