the length breadth and height of a room are 8m 25cm 6 m 75 cm and 4m 50 CM respectively determine the longest tape which can measure the three dimension of the room exactly
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Step-by-step explanation:
From the above factorization,We got H.C.F⇒3x5²=75. ∴The Longest length rod Which measures the 3 dimensions of the room exactly will surely be "75cm Long".
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Length of the room = 8m 25cm = 825 cm
Breadth of the room = 6m 75cm = 675 cm
Height of the room = 4m 50cm = 450 cm
Prime factorization of 825, 675 and 450 are as follows:
825 = 3×5×5×11
675 = 3×3×3×5×5
450 = 2×3×3×5×5
Common factors = 3×5×5
H.C.F. = 75
Hence, H.C.F. of 825, 675 and 450 is 75.
❒ Therefore the length of the longest tap is 75 cm which can measure the three dimensions of the room exactly.
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