the floor is in the shape of rectangle of length 9.6m and breadth 4.2 m. find the measure of the sind of the largest square shaped tile that can be used in the whole to cover the floor completely how many such tiles are needed for this purpose?

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Solution

length of floor =9.6m=960cm
breadth of floor =4.2m=420cm

largest side of square that can fix in the floor is hcf of 960 and 420
hcf(420,960)=60
hcf is found so that square side can have the highest divisible side

therefore side of square is 60cm=.6m

no of tiles = (9.64.2)/(.6.6)=40.32/.36=112tiles

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