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The length breadth and height of a room are 8m 50cm 6m 25cm and 4m 75cm respectively find the length of the longest rod that can measure the dimensions of the room exactly

Posted by Joash Jo 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

Length = 8 m 50 cm = 850 cm
breadth = 6 m 25 cm = 625 cm
height = 4 m 75 cm = 475 cm
length of the longest rod is equal to
HCF of 850, 625 and 475

Now on factorization we get

850=2×25×17=2×5²×17

625=25×25=5⁴

475=25×19=5²×19

HCF(475,625, 850) = 5²=25
{tex}\because{/tex} HCF is 25, so the longest rod that can measure the dimensions of the room exactly = 25 cm

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CBSE > Class 10 > Mathematics