Math, asked by ayushkumaryadav1212, 7 months ago

the lenght of a room is 160 cm,breadth is 80 cm and the height is 60 cm. find the longest measuring tape which will measure dimensions of the room exactly.
please give write answer​

Answers

Answered by itscandycrush
17

Answer:

{\huge{\red{\underline{\underline{Question}}}}}

The lenght of a room is 160 cm,breadth is 80 cm and the height is 60 cm. find the longest measuring tape which will measure dimensions of the room exactly.

{\huge{\red{\underline{\underline{Solution}}}}}

{\pink{\underline{\underline{Given}}}}

Length of the room=160cm

Breadth of the room=80cm

Height of the room=60cm

{\pink{\underline{\underline{To\ find}}}}

Longest tape to measure the length,breadth and height of the room.

{\pink{\underline{\underline{Solution}}}}

Since,

measuring tape will be smaller than 160,80,60

We need to find h.c.f.

160=2×2×2×2×2×5

80=2×2×2×2×5

60=2×2×3×5

Take out common multiples in all these 3 number =2×2×5=20

Hence,h.c.f.=20cm

So,the length of measuring tape is also 20 cm.

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